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Consider the fuction f(x)=-2x^3+30x^2-144x+3. For this function there are three important intervals:

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Calculus
Consider the function f(x)=-2x^3+33x^2-108x+2. For this function, there are three important intervals: (-Inf,A], [A,B], [B,Inf) where A and B are the critical points. Find A and B and for each of the important intervals, tell whether f(x) is increasing or decreasing.

math-calc
Consider the function f(x)= (2x+8)/(6x+3). For this function there are two important intervals: (-inf, A) (A, inf) and where the function is not defined at A . Find A For each of the following intervals, tell whether is increasing (type in INC) or decreasing (type in DEC). ...

Calculus
7) Consider the function f(x)=x2e4x. For this function there are three important intervals: (−∞,A], [A,B], and [B,∞) where A and B are the critical numbers. Find A and B For each of the following intervals, tell whether f(x) is increasing (type in INC) or ...

Calculus
Consider the function f(x)=ln(x)/x^6. For this function there are two important intervals: (A,B] and [B,∞) where A and B are critical numbers or numbers where the function is undefined. Find A Find B For each of the following intervals, tell whether f(x) is increasing or...

CALCULUS
6. f(x)= 12x^5 + 30x^4 - 160x^3 +4 For this function there are four important intervals:(-inf, A] , [A,B] ,[B,C],[C, inf) where A ,B ,C are the critical numbers. Find A B AND C and at those points do they have a local min, max or neither??

Math
How do you find decreasing intervals of 6x^3-63x^2-144x-2? I found my increasing intervals from placing the derivatives i just can't seem to solve for the decrease

calculus help please
Consider the function f(x)=2x+9x^–1.? For this function there are four important intervals: (-inf,–A], [A,B),(B,C), and [C,inf) where A, and C are the critical numbers and the function is not defined at B. Find A= ????? and B= 0 and C =?????

Calculus
Consider the function f(x)=4(x−3^2/3. For this function there are two important intervals: (−‡,A) and (A,‡) where A is a critical number. Find A

Calculus
Consider the function f(x)=4(x-5)^(2/3). For this function, there are two important intervals: (-Inf, A) and (A, Inf) Where A is a critical number. Find A

Math
Consider the function f(x) = 7 x + 3 {x ^ -1 }. For this function there are four important intervals: (-infinity, A], [A,B),(B,C), and [C,infinity) where A, B and C are either critical numbers or points at which f(x) is undefined. Find A, B and C

Math Problem (please help)
Consider the following function. g(x) = 6x^4 − 13x^3 − 144x^2 + 325x − 150 (a) Use the zero or root feature of a graphing utility to approximate the zeros of the function accurate to three decimal places. (Enter your answers as a comma-separated list. Round ...

calculus 1
f(x) = 3x^3 - 9x + 5 find the: 1) zeroes or undefined values 2) intervals where the function is greater than zero 3) intervals where the function is less than zero 4) coordinates of all maxima and minima 5) intervals where the function is increasing 6) intervals where the ...

college algebra
F(X)= -3x^2 -30x-70 what is the vertex what is the axsis of symmetry what are the intercept what is the domain what is the range intervals increase intervals decrease

Calculus
Consider the function f(x) = x - lnx. Find the intervals on which f(x) is increasing and the intervals where it is decreasing. Also determine any relative max or min.

Calculus
Consider the function f (x) = 2x^3 - 3x^2 - 72x + 7 Find and classify the critical points. Identify the intervals of increase and decrease, and state the intervals of concavity.

Calculus
Consider f(x)=200+8x^3+x^4. find the intervals on which function is increasing or decreasing, the local max and minimu values, the intervals of concavity and the inflection points

math
x^2 - 4 What are the: Intervals on which the graph is above the x axis Intervals on which the graph is below the x axis Intervals on which the function is increasing Intervals on which the function is increasing Im not sure how to write these intervals.. so then i can do the ...

math-calc
for x (-12, 10) the function f is defined: f(x)=x^7(x+2)^2 On which two intervals is the function increasing (enter intervals in ascending order)? Find the region in which the function is positive Where does the function achieve its minimum?

Mathematics
Consider the following function. f(x) = e^(x)/ x^(4) (a) Find the intervals of increase or decrease. (b) Find the intervals of concavity. (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x, y) =

math
. Given the following function, f(x)=-x^2 -8x find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals where the function is increasing, (g) intervals where the function is decreasing, and (h) the graph of the function. Please show all of ...

calc
Consider the function below. (Round the answers to three decimal places. If you need to use - or , enter -INFINITY or INFINITY.) f(x) = 4 + 4x2 - x4 (a) Find the intervals of increase. (Enter the interval that contains smaller numbers first.) Find the intervals of decrease. (...

calculus
Consider the function f(x)=12x^5+30x^4–160x^3+5 . f(x) has inflection points at (reading from left to right) x=D , E , and F D= E= F=

Calculus
Consider the function f(x)=xe^2x. Find the intervals on which f(x) is concave up and the intervals where it is concave down. Show a sign graph. Please show work in detail so I can follow for future reference. Thanks!

Math
For x [–14,13] the function f is defined by f(x)=(x^3)(x+6)^4 On which two intervals is the function increasing (enter intervals in ascending order)? I got increasing intervals between [-14, -6], but can't find the other increasing interval. I believe it is [-3, 13] but I ...

algebra
Given the following function, find: (a) vertex (b) axis of symmetry (c) intercepts, (d) domain (e) range (f) intervals where the function is increasing, (g) intervals where the function is decreasing Please show all of your work f(x)=-7x^2-14x-3

Calculus
Consider the following function. f(x) = (2 − x)^(e^−x) (a) Find the intervals of increase or decrease. (b) Find the intervals of concavity. (c) Find the point of inflection. (x, y) =

Calculus (pleas help!)
Consider the function f(x)=12x^5+60x^4−100x^3+4. For this function there are four important intervals: (−INF,A], [A,B] ,[B,C] , and [C,INF) where A, B, and C are the critical numbers. Find A, B, and C. At each critical number A, B, and C does f(x) have a local min...

Calculus
I'm asked to find the domain of fuction (x+5)/(x-3) saying that x is all reals except for x can not equal three is wrong correct? Because i can evalue function when x = 3 as follows 3 + 5 = 8 so saying that the function has range x is a reals except x can not equal three is ...

math
is this correct then. Why might fuction notations be important? My answer: a function notation shows how x computes based on an equation. The function of x means the given equation a certain value. Such as f(x)=x + 7. For example f(6)=6 + 7. So, f(6)=13 the function equals 13...

Calculus
1. For the function f(x)=4x^3-30x^2+4: a) Find the critical numbers of f(if any); b) Find the open intervals where the function is increasing or decreasing; and c) Apply the First Derivative Test to identify all relative extrema 2. For the function f(x)=(x-1)^(8/11) a) Find ...

calculus
For x ∈ [−12, 10] the function f is defined by f(x) = x7(x + 1)4 On which two intervals is the function increasing (enter intervals in ascending order)?

calculus
Consider the function f(x)=12x^5+30x^4–300x^3+2. f(x) has inflection points at (reading from left to right) x=D,E, and F. where D is___, E is____, and F is____.

CALCULUS
Consider the function: f(x) = x/(x^2 + 2) (a) Determine the intervals on which the function is concave up. Enter the leftmost interval first (e.g. (1,2) would come before (3,4)). (b) Determine the intervals on which the function is concave down. Enter the leftmost interval ...

Math
Which of the following options is an equivalent function to f(x) = 4(3)2x? A.f(x)= 36x B.f(x)= 4(9)x C.f(x)= 144x D.f(x)= 4(6x)

math, algebra
can someone correct this for me or help me. 6x^2y^3+ 9x^2y^3 divided by 3x^2y^2 my solving and answer is: 15 x x y y y ---------- = 5y 3 x x y y Looks good to me. I've never thought of showing x^2y^3 as xxyyy. That a neat wrinkle. We see quickly that the Xs cancel and all but ...

calculus help
Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find the intervals of increase and decrease and the intervals of concavity. f(x)= 1+(1/x)+(5/x^2)+(1/x^3) find the interval of increase. find the interval of decrease. find the ...

math
Consider the function g(x)=x/x-7. a) Summarize the increasing and decreasing intervals. b) Compare the slopes of the tangents at the points where i) x=7.5 and x=20 ii) x=6.5 and x=-20

math
*Consider the function g(x)=x/x-7. a)Summarize the increasing and decreasing intervals. b)Compare the slopes of the tangents at the points where i) x=7.5 and x=20 ii) x=6.5 and x= -20

Calculus
I need help determining the intervals of increase, decrease and the intervals of upward and downward concavity given f prime. f'(x)=(64x^4 - 125x) ^(-2/3). Im not sure how to solve this. I know that the function has no intervals of decrease, its the rest im having trouble with

math
Consider the function g(x)=x/x-7. a) Summarize the increasing and decreasing intervals. b) Compare the slopes of the tangents at the points where i) x=7.5 and x=20 ii) x=6.5 and x=-20 Do it for me please...

calculus
For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6? For x including [–15, 13] the function f is defined by f(x)=x^7(x+4)^6 On which two intervals is the function increasing (enter intervals in ascending order)? ( i was able to get the first interval but...

pre calc
The Identity Function The Squaring Function The Cubing Function The Reciprocal Function The Square Root Function The Exponential Functional Lo The Natural Logarithum Function The Sine Function The Cosine Function The Absolute Value Function The Greatest Integer Function The ...

increasing and decreasing intervals
Have to find the intervals on which f(x) = 4 - sqrt(x+2) is increasing. Also the intervals on which the function is decreasing. TIA Find the derivative of f(x). When the derivative is positive, the function increases as x increases. When the derivative is negative, the ...

Calculus
Consider the function f(x)=2x+6x^(-1). For this function, there are three numbers A<B<C which are either critical or not in the domain of the function. A= B= C=

Calculus 1
Consider the function below. f(x)= (x^2)/((x-4)^2) Find the interval where the function is concave up. (Enter your answer using interval notation.) Find the intervals where the function is concave down. (Enter your answers using interval notation.) For interval where the ...

Maths
Question – 1: The gradient of the graph of f(x) at any point is,ax^2-12x + 9, and the point,(2,-3),is an inflection point of f(x). (a) Find the value of the real constant, a. Find the function f(x). (b) Find the stationary points of the function, then specify the intervals ...

Math
How would you write open intervals for concavity? After you find the second derivative of a fuction; How would you go about finding the concavity

Calculus (urgent!!)
Consider the function f(x)=12x^5+60x^4−100x^3+4. For this function there are four important intervals: (−INF,A], [A,B] ,[B,C] , and [C,INF) where A, B, and C are the critical numbers. Find A, B, and C. At each critical number A, B, and C does f(x) have a local min...

Algebra: factoring
I need to find the value of x. 9x^3 + 9x = 30x^2 It's confusing because apparently I have to do 9x^3 + 9x and then add the + 30x^2 to it, and then make it equal 0, so it ends up like this: 9x^3 + 9x + 30x^2 = 0 And afterward, I would factor it. How do you factor it? I'm having...

calculus
f(x)=2x+8x^-1.For this function there are four important intervals: (-infinity,A],[A,B),(B,C), and [C,infinity) where A,B and C are either critical numbers or points at which f(x) is undefined.Find A,B and C.

Calculus
Suppose you know that f(x) is an odd functon on the domain of all real numbers and that the function is concave up on the intervals 0 < x < 3 and 5 < x and concave down on the interval 3 < x < 5. List ALL intervals on which the functon f(x) is concave up and ALL...

Math
For the function y= (ax+b)/(cx+d) write the intervals where the function is increasing and intervals where it is decreasing. X intercept= -b/a Y intercept= b/d Vertical asymptote: x=-d/c Horozontal asymptote: a/c

Fuction Notations
how might fuction notations be useful in my every day life?

Calculus Answer Check
Rocket A has a positive velocity v(t) after being launched upward from an initial height of 0 feet at t=0 seconds. The velocity of the rocket is recorded for certain values of t over the interval 0 <= t <= 80 seconds, as shown below. t(seconds),v(t)(ft/sec) = (0,5),(10,...

Calculus
Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the intervals for which the cost is increasing. Determine any intervals for which the marginal cost is increasing. Marginal cost is when you derive the cost function, correct? So do you do the second derivative ...

Calculus PLEASE HELP
Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the intervals for which the cost is increasing. Determine any intervals for which the marginal cost is increasing. Marginal cost is when you derive the cost function, correct? So do you do the second derivative ...

math
Given the fuction y = log3(x+3)+2, calculate the zero of the function. GIve an exact answer.

graphing exponential function
P(x) = -(x-a)^4 (x-b)^3 (x-c) where a>0, b<0, c>0, a<c How do I sketch a graph of this? Thanks First you put the points a, b and c on the x-axis, doesn't matter precisely where, as long as it satisfies the conditions: a>0, b<0, c>0, a<c. Then you use ...

Polynomials
The circular area of the drum is (9x^2+30x+25)pi. What is the smallest diameter it can have? (9x^2+30x+25) (3x+15) (3x+15) 3(x+5) 3(x+5) 9(x+5) 9x+45 <--------

CALCULUs
For all x in the interval [-11,13] the function f is defined by x^3(x+3)^4 On which two intervals is the function increasing? Find the region in which the function is positive

Calculus
Function f(x)= e^-x^2 a) Inflection Values b) Intervals on which f(x) is concave downward c) Intervals on which f(x) is concave upward.

Algebra
Convert the simplified parabolic equation y=3x^2-30x-7 to standard form. 3x^2-30x-7 3x^2 -30 x -7 +75 -75 3(x^2 -10x + 25) -82 3(x-5)^2 -82 or y = 3(x-5)^2 -82 check that.

calculus
2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] . a. Find the absolute maximum and minimum values of f(x) b. Find the intervals on which f is increasing. c. Find the x-coordinate of each point of inflection of the graph of f.

calculus
2. Consider the function f defined by f(x)=(e^X)cosx with domain[0,2pie] . a. Find the absolute maximum and minimum values of f(x) b. Find the intervals on which f is increasing. c. Find the x-coordinate of each point of inflection of the graph of f.

Engineering Calculus
f(x)=((6x-3)/(x+6)) how do you find the intervals of decreasing and increasing...I found that there were no critical points yet I was also correct that the function increased (-I,-6) and (-6,I). I was wrong that there were no decreasing intervals though.

Brief Calculus
Increasing and Decreasing Functions. Let f(x) = 4x^3 - 9x^2 -30x +6 A. Find all critical numbers of f(x) B. Give the open intervals where f (x) is increasing and decreasing and clearly label each.

criminology
Why is it important to consider inversely the nexus between theory and policy? It is far more important to consider writing skills and clarity of communication. Can you possibly explain the meaning of consider inversely the nexus? Hmmm. "... consider inverseley the nexus...

Calculus
Consider the function f(x)=(x^2)e^(14x) f(x) has two inflection values at x = C and x = D with C≤D where C is and D is Finally for each of the following intervals, tell whether f(x) is concave up or concave down. (−∞,C]: [C,D]: [D,∞)

math help please
Consider the function g(x)=x/x-7. a) Determine an equation for the vertical asymptote. b) State the domain. c) Determine an equation for the horizontal asymptote. d) State the range. e) Sketch the function. ( i will do it) f) Summarize the increasing and decreasing intervals. ...

College Algebra
Here is the whole question... I have figured most of it out but I need help with part (b)(f) and (g)... Maybe you also check the work I have already done Given the following function, find: (a) vertex, (b) axis of symmetry, (c) intercepts, (d) domain, (e) range, (f) intervals ...

psy265
What are three components of attractiveness? Which of the three is most important to you? Why did you choose this factor? Consider, as you respond to your classmates’ posts, how their responses have had an effect on your views about attractiveness

calculus
Is this a correct answer, I'm trying to integrate the marginal revenue function to get the function for total revenue. R'(x)=(30/(2x +1)^2)+30 =R(x)=(-15/2x+1)+30x

ACC220
select a management fuction (planning, directing and motivating,or controlling)and explain how that function relates to business as a whole.

Inflection points
Consider the function f(x)=12x^5+30x^4–300x^3+2. f(x) has inflection points at (reading from left to right) x=D,E, and F. where D is___, E is____, and F is____. I took the second derivative of the function and got 120x(2x^2+3x-15). From that I set it to equal and tried ...

Education
What do you consider to be three important positive qualities a teacher should possess?

Maths
Determine the profit function P(x), if the revenue function and cost functions are R(x)=70x-1000 and C(x)=30x+1000 respectively. Also find the break-even point.

Algebra
I need help trying to put the correct vocabulary words when solving this problem such as grouping, factor, prime factor, GCF, and perfect square, and please check and see if I am doing this correctly. 15x^2+31x+2 In my last problem I will be using the “ac method” A*C = 15*...

Calc
f(x) = x^2 / (x - 7)^2 (a) Find the vertical and horizontal asymptotes. x= y= (b) Find the interval where the function is increasing. Find the intervals where the function is decreasing. (Enter the interval that contains smaller numbers first.) (c) Find the local minimum value...

Calculus
Consider a differentiable function f having domain all positive real numbers, and for which it is known that f'(x)=(4-x)x^-3 for x>0. A. Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for ...

math,algebra
why are function notations important, are they really that important in todays world. Why do make math difficult. what are function notations i don't understand why they are important. 1934.3847569

calculus
Consider the function f (x)=x1=5(x��4). This function has two critical numbers A < B Find A and B For each of the following intervals, tell whether f (x) is increasing (type in INC) or decreasing (type in DEC). (-inf;A]: [A;B]: [B;inf) The critical number A is...

MATH - CALC
Use calculus and algebraic methods to do a complete analysis (i.e., intervals of increase and decrease, intercepts, critical points, points of inflection, and intervals of concavity) for each of the following functions and then sketch a graph of the function. (19 marks) ƒ(x...

FP101
List three steps in buying a home. What are some important points to consider in your purchase?

Statistics
Compare the 95% and 99% confidence intervals for the hours of sleep a student gets. Explain the difference between these intervals and why this difference occurs. 95% confidence intervals: 6.214, 7.686 99% confidence intervals: 5.944, 7.956

Statistics
Compare the 95% and 99% confidence intervals for the hours of sleep a student gets. Explain the difference between these intervals and why this difference occurs. 95% confidence intervals: 6.214, 7.686 99% confidence intervals: 5.944, 7.956

Math
find any stationary points of the function g(x) = (2x-3)square root of 5+16x-4x^2 (0 less than or equal to x less than or equal to 4) and use the first derivative test to classify each stationary point as a local maximum or local minimum of g(x) this is how far i have got with...

Math - Trig please help!
State two intervals in which the function y=7sin(1/5x)+2 has an average rate of change that is: a) zero b)a negative value c)a positive value Please explain how to get the intervals! Thanks a lot in advance!

Pre- Calc
Determine if the fuction is a power function. If it is, then state the power and constant of variation. f(x)=4x^(-3/5)

trig
use the function G(x)=x^3-8x +1 b) identify and verify the y intercept of G c) estimate the zeros of G to the nearest tenth d) estimate the coordinates of the relative extrema of G to the nearest hundredth e)in what intervals is G positive? Negative? f) in what intervals is G ...

Math - Int Trig
31) Locate, name, and classify the extrema of the function. Determine intervals which the function is increasing and decreasing f(x) = -x(x^2 - 2) 32) Determine the end behavior of the function f(x) = 2x - x^3

Math
For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function - f(x) = -1/2 [x-1] These functions always mess me up! Could someone tell me the following properties of this function. ...

Calc 1
Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the vertical and horizontal asymptotes. x=? y=? (b) Find the interval where the function is increasing. (Enter your answer using interval notation.) Find the interval where the function is decreasing. (Enter your...

Algebra
I need help trying to put the correct vocabulary words when solving this problem such as grouping, factor, prime factor, GCF, and perfect square, and please check and see if I am doing this correctly. 15x^2+31x+2 In my last problem I will be using the “ac method” A*C = 15*...

Algebra
2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3 how will solve it? well you first multiply it out: 6x-14+12x+8=30x+54+3 you combine like terms 18x-6=30x+57 -12x=63 x=-63/12

ALGEBRA
If I divide 28x^3-30x^2-67x-21 BY 7x+3...will I get 4x^2-10x-21? THEN 28x^3-30x^2-21THEN 14x^2-15x^2-21???? PLEASE HELP!!!

math
For f(x) and g(x) given below, find the following, f(x) = (x-1)^5, g(x)=1-6x a) (f of g)(x)= -7776x^5 b) (g of f)(x)= -6x^5+30x^4-60x^3+60x^2-30x+7 c)f(f(x)= d) f^2(x)=(f*f)(xx)= Im stuck on c and d

pre-calculus
is the function of f(x)=x^2-4x even, odd, or neither? oh and on what intervals is the function of f(x)=|x+1|+|x-1| increasing?

calculus
Find the points at which the following function is discontinuous.Indicate the intervals at which the function is continuous. f(x)= (x^2 if x<-1), (|x| if -1<x<=1), (3x+1 if 1<x)

math
Sam emptied his coin bank and made a bar graph of the numbers of each type of coin the interval he was 5 coins If graph showed 5 intervals of quarters, 2 intervals of dimes,3 intervals if nickels and 10 intervals of pennies what was total amt of money in bank Please help

find the intervals
How to find the intervals on which the following function is a)increasing b)decreasing c)concave up d)concave down. y = 2x, x < 1 2 - x^2, x >= 1 Thank you.

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