How to sketch graph of

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calculus - what is the derivative?

Let f(x) = 2x^2 + 1 a. Find the derivative f' of f. b. Find an equation ofthe tangent line to the curve at the point (1,3). c. Sketch the graph of f. *Can someone please help me? I have been trying to do my homework for some time now and I am stuck on this problem. I do not ...

Math

If the graph of f ′(x) is continuous and decreasing with an x-intercept at x = c, which of the following must be true? The graph of f has a relative maximum at x = c. The graph of f has an inflection point at x = c. The graph of f has a relative minimum at x = c. None of the...

calculus

If the graph of f " (x) is continuous and has a relative maximum at x = c, which of the following must be true? The graph of f has an x-intercept at x = c. The graph of f has an inflection point at x = c. The graph of f has a relative minimum at x = c None of the above is ...

math

Which type of graph would best display the numbers of each type of vehicle sold by a large dealership during a year? A. bar graph B. circle graph C. line graph D. line plot

precalculus

is solving this possible graph each function with its parent graph f(x)= -3(x-7)^2+2 i thought it was impossible because they did not say how many units i should move it. if this was the translated graph they did not say what the parent graph was am i right

Math

By what percentage does the average price increase from 1994 to 1995? Obtain a truncated version of the graph by sliding a piece of paper over the bottom of the graph so that the bars start In the truncated graph, by what percentage does the price appear to increase from 1994 ...

language

does a type sketch always have to be written negatively? Can one write a type sketch from a positive point of view? Instead of pointing out vices or folly, can one point out good attributes? Thanks

Science (Chemistry

Use the experimental data below to determine the order of the reaction with respect to [Cr(NH3)5Cl]^2+(aq)+OH^-(aq)-->[Cr(NH3)5(OH)]^2+(aq) +Cl^-(aq) You must show your work for any calculations and/or sketch or include a printed graph showing how the equation of the line ...

graphing help?

Graph ​ g(t)=4sin(3t)+2 ​. Use 3.14 for π . Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point. How would I graph this? I have plot the points on ...

AlgebraB-2

1. What are the coordinates of the vertex of the graph? Is it a maximum or minimum? 3. How is the graph of y = –2x2 – 4 different from the graph of y = –2x2? (1 point) 4. Graph the function. Identify the vertex and axis of symmetry.

calculus

Time (months) 0 1 2 3 4 5 Rate pollutants are escaping 2 5 7 16 24 34 Use this data to sketch a graph Draw rectangles on this graph (as in Figure 5.2) to help you underestimate the total pollutants that escaped during the first month. What underestimate did you obtain? tons ...

Grade 11 math

1.Transform the graph of f(x) = 3^x to sketch g(x) = 3^-(x+1) -2. Show table of values and each transformation clearly to get full marks. 2.Write two equations to represent the same exponential function with a y-intercept of 5 and an asymptote at y = 3. Investigate whether ...

science/math

I have to make this density graph on a standard sheet of graph paper of this area outside. Each side of the area is a meter (in real life). What would be an good scale to use for my graph on graph paper?

Calculus AB

Let f be the function that is given by f(x)=(ax+b)/(x^2 - c). It has the following properties: 1) The graph of f is symmetrical with respect to the y-axis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through the point (-1,3) Determine the values ...

maths

y=sin x Sketch. Find tangent and normal at: a) x=2pi/3 b) x=pi/2 c) x=pi/6 I'm not sure how to scale the graph. I have put the x values into sin x and have points. Not sure about this tangent and normal. Please help!

Maths

Hi, I have to produce a sketch of a line that passes through the points (4,3) and (10,0), i have already worked its gradient out to be -0.5 and its y - intercepts as 5. For some reason i am having a mental block on the next bit! I need to add the line y = 6 to the sketch and ...

CALCULUS

Sketch the region enclosed by the given curves. y = tan 3x, y = 2 sin 3x, −π/9 ≤ x ≤ π/9 then then find the area. i can sketch but cant find correct area

Calculus

Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x) when x=2 and include it in your graph. Also find any horizontal or vertical asymptotes and include them in your graph. Give explanations ...

Calculus

Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x) when x=2 and include it in your graph. Also find any horizontal or vertical asymptotes and include them in your graph. Give explanations ...

Calculus

The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line. B. On what subintervals of (0.12,1), if any, is the graph of g ...

Functions

I need help with the following problems please? How do I make a transformation using g(x)=|x-2|? How do I graph g(x)=f(x+1)? How do I graph g(x)= -f(x)+2? How do I graph g(x)=1/(3)x+3? How do I grahp g(x)= f(x-1)-2

math

suppose the graph of f is given . Describe how the graph of the function can be obtained from the graph of f . Y = 4f ( x + 5 )- 3 . How would I work this problem?

Basic Calculus

How do you graph f(x)=sqrt(a^2-x^2)? how do you graph f(x)=0, if x is rational and f(x)=1, if x is irrational? I need to know how to graph them by hand, not on a calculator. Thanks in advance.

tech

Which of the following does a histogram resemble the most? A.picture graph B. line graph c. bar graph***** d. table

Maths, Function image sets

Need a bit of help. Trying to find the image sets of two recipricol functions. The first g(x)=1/(x-2)+5 (x not equal to 2) The second g(x)=1/(x-2)+5 (x>2) Now its quite easy to draw/sketch the graph but ive not really dealt with image sets of recipricol f functions before ...

Algebra II

Does the graph of y = x – 3x2 + 5 have a maximum or minimum? What is the vertex of the graph of y = -2(x - 3)2 + 4? Does the graph of y = -2(x - 3)2+ 4 open up or down?

algebra

write the function whose graph is the graph is the graph of y=(x+4)^2, but is reflected about the y- axis y=____

physics

A car moves from rest with a constant acceleration of 4m/s squared for 5s .IT then continues with the speed attained for10s and then accelerates at 2m/s squared for 10s.A/ SKETCH A SPEED TIME GRAPH FOR THE WHOLE MOTION GIVING YOUR VALUES ON BOTH AXES.B/CALCULATE THE AVERAGE ...

Math

Graph the solution of each compound inequality. f > -1 and f < 5 Does this mean I just graph those 2 or solve them and find the intersection then graph?

Pre - CALCULUS

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph f(x) = 5x - 3,lim x -->5 f(x)

PRE - CALCULUS

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph f(x) = 5x - 3,lim x -->5 f(x)

Pre - CALCULUS

Graph the function. Then use your graph to find the indicated limit. You do not have to provide the graph f(x) = 5x - 3,lim x -->5 f(x)

Physics

How do you convert a distance time graph to a velocity time graph. In my first distance time graph, i have 3 curves, two are above the x axis the the middle curve is under the x axis. i am confused on how to change this graph into a velocity time graph since i cant find the ...

Calculus

These are the two problems from my homework I don't get.. can you help me? A: y=2x-x^3 [0,1] use the limit process to find the area of the region between the graph of the function and the x-axis over the given interval. Sketch the region B: f(x)=4-(12/(x^2))Calculate the lower...

algebra 1

Graph each rational function;identify the domain and ranges;and compare the graph with the graph y=1/x. 1.y=-10/x 2.y=1/(x+3)+3

algebra 1

Graph each rational function;identify the domain and ranges;and compare the graph with the graph y=1/x. 1.y=-10/x 2.y=1/(x+3)+3

pre calc

the graph of y=-1/2 x+5 +3 can be obtained from the graph of y= x by which transformations what is the horizontal shift by what factor is the graph stretched or shrunk vertically and how is it reflected

Physics

A spaceship approaches Starbase Beta with an initial velocity moving in the +x direction. The ensign sets the ship’s computer to initiate a braking program starting at time t = 0. After this time the computer controls the ship’s x-velocity according to until the ship docks...

Pre Cal

a function f is defined as f(x)= square root of (x+4). a) identify the domain of the function b) identify the range of the function c)Compute the intercept d) compute the x intercept E) sketch a graph of the function

Physics - work done

A variable force F acts through a displacement d. The magnitude of the force is proportional to the displacement, so F=kd, where k is constant. a) Sketch a graph of this force against position up to position x. b) According to the equation, what is the value of the force at x...

Physics

You toss a coin straight up into the air. Sketch the velocity-time and acceleration-time graphs of the coin from the instant it leaves your hand until the instant it returns to your hand. Assume that the positive y direction is upward. Indicate on your graph the moment when ...

algebra

Graph the system of inequalities x¡Ü2 y¡Ý-2x+4 I am having trouble understanding what points to plot on the graph and also how the graph should be shaded (if at all).

Calculus

Write an equation for a graph obtained by vertically shifting the graph of y = x^2 + 10 downward by 35 units, followed by stretching the resulting graph by a factor of 19.6.

Bar graph?

I need to create a bar graph for a retail store I created that sells clothing for men, women, kids, etc. I already made a circle graph, frequency table, and line graph to show my stores budget and what customers favorite items are, and the frequency of how much people by age ...

physics

in a making a graph showing the stretch of a spring: Plot a graph of force vs. stretch. Find the slope. The Slope of the graph is called the spring constant. 1)What does the slope of the graph tell you? 2) If someone had a graph with a slope twice as steep as yours, but you ...

Trigonometric functions

a pendulum swings back and forth taking 2 seconds to move from the position directly above from point a to the position directly above point b, as shown in the figure below. the distance form a to b is 20 cm. let d be the horizontal distance from her pendulum to the (dashed) ...

college algebra, Please help!!

How can the graph of g(x)=3square root x+3 be obtained from the graph of g(x)= 3 square root x? A. shift the graph 3 units right b. shift the graph 3 units up c. shift the graph 3 units down d. shift the graph 3 units left I am having problems with the square roots. Can ...

college algebra, Please help!!

How can the graph of g(x)=3square root x+3 be obtained from the graph of g(x)= 3 square root x? A. shift the graph 3 units right b. shift the graph 3 units up c. shift the graph 3 units down d. shift the graph 3 units left I am having problems with the square roots. Can ...

college algebra, Please help!!

How can the graph of g(x)=3square root x+3 be obtained from the graph of g(x)= 3 square root x? A. shift the graph 3 units right b. shift the graph 3 units up c. shift the graph 3 units down d. shift the graph 3 units left I am having problems with the square roots. Can ...

Calculus

Year 1960 1970 1980 1990 2000 Rate 39 59 64 89 106 of change (million people per year) Use this data to sketch a graph like that in Figure 5.2 on page 238. Draw rectangles on this graph (as in Figure 5.2) to help you underestimate the total change in the world's population ...

Maths Graph

Q1(a)-How to draw the graph of the function A=x^2. Q1(b)-From the graph, How to find the value of A,when (i)x=2 (ii) x=3 (iii)x=4

PreCalc!

sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider the 2 statements: I. if f(a)=b then f(inverse...

Earth Science

What are 3 examples of graphing natural phenomenas? How would you predict their future occurences? One could graph the occurance of celestial bodies, such as the moon, sun, etc. Or graph the location of Vega, by hour. Or graph comets. You could graph rainfall by month over a ...

Calculus

describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3 give the order in which they must be preformed to obtain the correct graph pls help!!!

Biology

Can anyone help me with this one question that I'm stumped on? The process by which a web-spinning spider makes a "sketch" of a web design before making a permanent web is called - A. lock-step sequence B. simulation C. trial and error D. cinch and attach Thanks in advance! ...

Math (College Level Mathematics)

Fourier sin series for f(x) = 1, 0 < x < Pie is given by 1 = 4/n E 1/ (2n-1) times sin (2n-1) x, (0 < x < n). Using this, find the Fourier sinc series for f(x)= 1, on 0 < x < c where c > 0. Then find the Fourier series for g(x), x > 0 where g(x) = 1, 0...

Calc 1

Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope of the secant line and its relationship ...

As Physics

Motion and Projectiles Homework-Due tommorow Extended Writing Task: Freefall Two identical steel balls are released from rest above cylinders containing oil as shown in the diagram below.The balls travel vertically until they reach the bottom of the cylinder. The graph below ...

math

Consider the function f(x)= 3 ------. x^2-25 a) Determine any restrictions on x. b) State the domain and range. c) State equation(s) for the asymptote(s). d) Determine any x- and y-intercepts. e) Sketch a graph of the function. f) Describe the behaviour of the function as x ...

chabot college

Consider the position function s(t)=sin((pi)(t)) representing the position of an object moving along a line on the end of a spring. Sketch a graph of s with the secant line passing through (0,s(0)) and (0.5,s(0.5)). Determine the slope of the secant line and its relationship ...

trigonometryyyyyy

Math Notation: x^2 means x raised to the second power or x squared. Explain how to translate the graph of y = -x^2 to produce the graph y = -x^2 + 3. What would the graph look like?

college algebra

graph the following function using transformations, be sure to graph all of the stages one graph, state the domain and the range y=x^2+12x

Math 222

This is the second part to my first question A quadratic function Graph the function g(x) = 4 − x2, and state the domain and range. Solution We plot enough points to get the correct shape of the graph. See Fig. 11.10 for the graph. The domain is (−‡, ‡). ...

Math 222

This is the second part to my first question A quadratic function Graph the function g(x) = 4 − x2, and state the domain and range. Solution We plot enough points to get the correct shape of the graph. See Fig. 11.10 for the graph. The domain is (−‡, ‡). ...

Chemistry

10. For the titration of 20.00 mL 0.1000 M lactic acid with 0.1000 M NaOH, calculate the pH: a. before any titrant is added b. 10.00 mL prior to the equivalent point c. at the equivalent point d. 10.00 mL after the equivalence point. Plot the points obtained on a graph of pH ...

calculus

You are given that f(x) =1+ax+ax2 f′(x) =−(x+2)ax3 f′′(x) =(2x+6)ax4 and the constant a>0. Write down all intervals on which the function is increasing, decreasing, concave up or concave down. (Enter using notation (a, b). Use a comma to separate ...

Math Please Help

The graph above shows the number of students receiving A's in each grade at Bridgeport Middle School. Which statement is true? A: The scale on the first graph does not distort the lengths of the bars. B: The second graph shows greater changes in the number of A's than the ...

Precalculus (Please Help!!??)

The formula for the area of a circle and the volume of a sphere an be though of as functions of the radii of the shapes. (Anything you could answer would be so helpful) Thank you!! a) Write a rule expressing the area of a circle as a function of its radius. What is the domain ...

Math

y=arccos(sin(x)), find dy/dx and sketch it's graph(I guess I can do this on wolframalpha after I'm done solving the question). And by arcsin I mean inverse of the expression(written like cos^-1(sin(x)), but is not 1/cos(sinx) but the inverse of cos). I am not getting this ...

Algebra

A student earns $0.65 for each mistake she finds in a text. Sketch the equation of direct variation. An equation of direct variation is of the form M = k X where k us a constant. In your case M might be total money earned and X is the number of students. Clearly M = 0.65 X The...

prealgbra

charlie is at a small airfied watch for the approach of a a small plane with engine trouble. he sees the plane at an angle of elvation of 32. at the same time, the pilot radios charlie and reports the planes altitude is 1,700 feet. Charlies eyes are 5.2 feet from the ground. ...

MATH

The formula for the area of a circle and the volume of a sphere an be though of as functions of the radii of the shapes. (Anything you could answer would be so helpful) Thank you!! a) Write a rule expressing the area of a circle as a function of its radius. What is the domain ...

calculus II

We're doing areas by integrals now, with 2 eqns. I have a few questions. 1. Sketch the region in the xy-plane defined by the inequalities x-2(y^2)> 0 and 1-x-abs(y)>0. and find its area. Would it be best to solve for x, then graph it as x= something? Then find the ...

Algebra

Pretend the parentheses are absolute value bars. What is the graph of y = (x) and its translation to the graph of y = (x + 3)+1? I know I can't post the graph picture here, but I'm confuzzled on how to solve the problem. Please explain how! Thank you so much! <3

periodic functions

At time 4 minutes your submarine is at its deepest, y= -1000m. At time 9 minutes you are at your shallowest, y= -200. Sketch the graph. Write the equation. Your sub is designed to cruise below y= -300 meters. At time zero was your submarine at its cruising depth? Between what ...

economics

2. Suppose that the quantity of corn supplied depends on the price of corn, p; and the amount of rainfall, R: The demand for corn depends on the price of corn, p; and the level of income, Y: The equations that describe the supply and demand relationships are Qs = 20R+100p Qd...

calculus

If a function f is continuous for all x and if f has a relative minimum at (-1,4) and a relative minimum at (-3,2), which of the following statements must be true? (a) The graph of f has a point of inflection somewhere between x = -1 and x=3 (b) f'(-1) = 0 (c) The graph of f ...

physics

i have this problem, it asks: (a) With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 50m? answer: 31m/s (b)How long will it be in the air?\ answer: 6.4s (c) Sketch graphs of y, v, and a vs. t for the ball. On the first two graphs...

Algebra II

State the phase shift of y=cos(theta-[pi/3]). Then graph the function. I know that you cannot graph on this site but how do I solve for the phase shift and to graph the phase shift, would I first have to graph the current equation? Thanks.

analytic geometry

1. Given the parabola defined by y^2 = -12x, find the coordinates of the focus, the length of the latus rectum and the coordinates of its endpoints. Find also the equation of the dielectric. Sketch the graph. 2. Find the eccentricity of an ellipse when the length of the latus ...

Physics

A car starts from rest and attains a velocity of 40 metres per second in 20 seconds. it maintains this velocity for 30 seconds and then comes to rest in 25 seconds. 1. sketch the velocity time graph for the motion. 2. Calculate the acceleration of the body. 3. Calculate the ...

Calc I

A particle moves at varying velocity along a line and s= f(t) represents the particle's distance from a point as a function of time, t. sketch a graph for f if the average velocity of the particle between t=2 and t=6 is the same as the instantaneous velocity at t=5. I know ...

calculus

A region is bounded by the function y=2x^2+3 and the x-axis over the interval(0,2). Sketch the graph of the bounded region. Use the limit process to find the area of the bounded region. Explain the step in this limit process. Please explain all procedured using correct ...

trig

Graph three periods of the function. (identify period and phase shift and intercepts) y = f(x) = √3/2 sin(2x) - 1/2 cos(2x) if you can't graph it can you at least get it into that simpler form which is graph able.

chemistry

a graph of melting point against relative atomic mass for the alkali metals on the same graph, a plot of the boiling points with a sentence to describe the information the graph gives

Algebra

Write an equation for a function at has a graph with the given characteristics. the shape of y=|x| is reflected across the y-axis. this graph is then vertically stretched by a factor of 1.5. Finally, the graph is shifted 4 units downward.

Science

A car starts from rest and attains a velocity of 40 metres per second in 20 seconds. it maintains this velocity for 30 seconds and then comes to rest in 25 seconds. 1. sketch the velocity time graph for the motion. 2. Calculate the acceleration of the body. 3. Calculate the ...

intermediate algebra

Mr. Lakandula would like to increase his production of milkfish due to its high demand in the market. He is thinking of making a larger fishpond in his 8000 sq. m lot near a river. Help Mr. Lakandulaby making a sketch plan of the fishpond to be made. Out of the given sutuation...

Algebra

Write an equation for a function that has a graph with the given characteristics. The shape of y=^3 squareroot x is shifted 7.3 units to the left. This graph is then vertically stretched by a factor of 9. ​Finally, the graph is reflected across the ​x-axis. Thanks

physics help

Damped Oscillations 1. (a) For each of following graphs, determine if graph shows damped oscillation. (b) if it shows damped oscillation : (i) identify damping factor (ii)where damping occurs Note : use a graphing calculator to sketch these graphs f(x) = ¡î5 cos 1.2 x f(x...

Math

A car travelling at 23 miles per hour accelerates to 46 miles per hour in 5 seconds. It maintains that speed for 5 seconds before it slows to a stop in 5 seconds. Sketch and label a graph showing the car's speed over time.

calculus

N(t) = 650 1+649 e−0.5 t . (You may wish to sketch a graph of N(t) to help you understand this situation and answer the questions below.) (a) How many people will have heard the rumor after 2 hours? After 12 hours? (b) When will half the people have heard the rumor? t...

chem11

Suppose you have a large supply of sponge balls with weights in the centre, so that when the balls are piled on each other the bottom ones are flattened. Sketch a graph that generally describes mass vs. volume for these sponge balls. Also, would weighted sponge balls represent...

algebra

Could you please help me answer this? Fund Raising. A charity organization wishes to raise at least $12,000 from a movie premiere to be held at a theatre with 800 seats. The ticket prices are to be $20 and $15, with at least 500 tickets to be sold at $20. a. If x tickets at $...

Algebra 2

If you have an arbitrary polynomial P(x) of the n’th degree in x, and you graph the equation y = P(x), describe the overall shape of this graph. What happens when x gets large in the positive and negative directions, and how many peaks and valleys does the graph have? How ...

Calculus-Function

sketch the graph of a function in neighborhood x=2 that satisfies these conditions f(2)=3 f'(2)=2 f"(2)=-1 you can find a specific function that satisfies all of the given conditions i know the first derivative gives you critical points, and second derivative gives you points ...

Calculus

If you can helpme on this problem you are GOD. If f(x) = ax^2 + bx + c, what can you say about the values of a, b, and c if: (A) (1,1) is on the graph of f(x)? (B) (1,1) is the vertex of the graph of f(x)?[Hint: The axis of symmetry is x = -b/(2a).] (c)The y intercept of the ...

trig

(a) sketch an angle A in standard position whose terminal ray passses through the point (1,-4) (b) Find the exact value of the six trigonometric functions of A, (c) Let B be the reference angle of A. Find a point on the terminal rsy of B in standard position and add B to your ...

Calc

Let F be the function defined by F(X)=12X to the 2/3 power minus 4X Find the intervals of which F is increasing? Find X & Y coordinates of all relative max. pts? Find X and Y Coordinates of all relative min pts? Find the intervals of which F is concave down? Sketch a graph of F

Math- calculus

Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an equation of the line tangent to the graph of f at x = -1 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0,-8) which is not of the graph of f. Find a and b...

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