let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Find the

16,784 results
  1. Math

    compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent function. c.it causes the

  2. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0

  3. Algebra 2

    The graph of an absolute value function opens up and has a vertex of (0, -3). The domain of the function is . The range of the function is

  4. Math

    The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 3x + 1 How much

  5. math

    12. Which function is a quadratic function? A. y=3x^2+x B. y=2x-1 C. y=3/x D. y= -|x| Which function rule represents the data in the table? x -3, -2, -1, 0, 1 y 1, -2, -5, -8, -11 A. y=-3x-8 B. y=1/3x -8 C. y=1/3x+8 D. y=3x+8

  6. Math I need help ASAP!

    1) Identify the function rule shown in the table. Function Table n - 3, 4, 5, 6 y - 2, 1, 0, -1 a. y = 2 + n b. y = 5n c. y = 5 - n d. not enough information ** 2) What is the values of the function y = -2x - 4 for x = 0,1,2 and 3? a. 0, -6, -8, -10 b. -4,

  7. Calculus (Continuity and Differentiability)

    Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not given an explicit function for g', just its graph.) The question then goes on to ask me: Is it possible, impossible, or certain

  8. Calculus. I need help!

    Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] Then find the derivative dy/dx. y=√sinx √ is square root.

  9. calcius

    Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, -2, -3, 6} range: {-2,

  10. Math

    Determine whether the following relation is a function. {(3,7),(3,8),(3,-2),(3,4),(3,1)} a. It is a function because the ordered pairs all have the same x-value*** b. It is NOT a function because there are multiple y-values paired with a single x-value c.

  11. Algebra 2 check my last answer?!

    A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0. The function is a reflection of its parent function over the x-axis. Which function could be the function described? f(x)=10cos(3x)−10 f(x)=10cos(2π3x)+10

  12. Math

    The graph of a rational function has a local maxima at (-1,0) and (8,0). The complex number 2+3i Is a zero of the function. What is the least possible degree of the function Answer is 6 But i need help with an explanation.

  13. Math

    A quadratic function has a vertex of (3,-6) and the point (-1,10) lies on the graph of the function. Write the function in standard form. If you could help me with this question, that would be great. Thanks in advance.

  14. calculus please help asap

    true or false questions: a)The derivatives of the reciprocal trigonometric functions can be found using the chain rule and their related base functions. b) A sinusoidal function can be differentiated only if the independent variable is measured in radians.

  15. Math

    If Joe wanted to create a function that modeled an exponential function with base of 8 and what exponents were needed to reach specific values, how would he set up his function? f(x) = x^8 f(x) = log8 x f(x) = logx 8 f(x) = 8^x

  16. Need help asap

    I need help! Reasoning: Can a function have an infinite number of values in its domain and only a finite number of values in its range? If so, describe a real-world situation that could be modeled by such a function. Writing: What is the difference between

  17. calculus 2

    Suppose that you can calculate the derivative of a function using the formula f'(x) = 4f(x) + 2x. If the output value of the function at x= 4 is 2 estimate the value of the function at 4.013

  18. English Language

    Grammatical Name and Function of "What they were planning is very good." Grammatical Name and Function of "The news that Ngozi has recovered is true." Grammatical Name and Function of "He stopped shouting only when he got into the bus that brought his

  19. mathematics

    Use the function f(x)= tan(2x+1) to answer the following Determine the period (P) and phase shift (PS) of the function explain what each part would represent in a graph of this function

  20. Calculus

    If f is a function such that [(f(b)-f(a))/(b-a)]=2 , then which of the following statements must be true? a.f(a) = f(b) = 2 b.The slope of the tangent line to the function at x = a is 2. c.The average rate of change of the function on the interval [a, b]

  21. math

    Compare the function with the parent function. What are the vertex, axis of symmetry, and transformations of the given function? y = |10x-2| -7

  22. Calculus

    If f is a function such that (f(b) - f(a))/(b-a) =2, then which of the following statements must be true a) f(a) = f(b) =2 b) the slope of the tangent line to the function at x =a is 2 c) The average rate of change of the function on the interval [a,b] is

  23. Algebra (math)

    The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 4x + 1 How much

  24. Calculus

    A cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 9, the vertical shift is 11 units down, and the period of the function is 12π/7. The graph of the function does not show a phase shift. What is the

  25. CALCULUS DERIVATIVES CONTINUITY

    Let f be the function defined by the piecewise function: f(x) = x^3 for x less than or equal to 0 x for x greater than 0 Which of the following is true? a) f is an odd function b) f is discontinuous at x=0 c) f has a relative maximum d) f'(0) = 0 e) f'(x)

  26. 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.

  27. Algebra 2 check

    A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0. The function is a reflection of its parent function over the x-axis. Which function could be the function described? f(x)=10cos(3x)−10 f(x)=10cos(2π3x)+10

  28. Math

    The graph of a rational function has a local maxima at (-1,0) and (8,0). The complex number 2+3i is a zero of the function. What is the least possible degree of the function? I know The correct answer is 6. I need help with the explanation please.

  29. Calculus

    A differentiable function called f(x) achieves its maximum when x=0. Which of the following must then be true? 1. The function p(x) = xf(x) has a critical point when x = 0. 2. The function m(x) = (f(x))^2 has its maximum at x = 0. 3. The function j(x) =

  30. Algebra 1

    Which of the following statements is true about the function y = 5⋅x4 ? It is an even function It is an odd function It is an exponential function It is an inverse function

  31. Math

    1. Function Q and function R are both linear functions. Function Q has an x-intercept at (4,0), and the slope is 1/4. Function R is represented by the table. x y -4 14 3 0 5 -4 Which statement is true? A. Function Q has a larger y-intercept and a less

  32. precalculus

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4

  33. Math

    Which description is correct for the x-intercept(s) of Function A and Function B? Function A: x g(x) −2 0 3 7 5 0 −1 2 0 −2 Function B: f(x)=|x|−3 A.Both functions have one negative and one positive x-intercept. B. Function B has two x-intercepts.

  34. precalculus

    The function has a vertical asymptote of x=2 The function has a removable discontinuity of x=-2 The function has a horizontal asymptote of y= 0 No x intercept Y-intercept is (0,-0.5) End Behavior f(x) --> 0, x? -oo f(x) ? 0, x ? oo What is the rational

  35. math

    Consider the following. lim x→−2 2x^2 − 2x − 12/x + 2 Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) Write a simpler function that agrees with the given function at all but one point. g(x) = ??? thnks

  36. MATH help can anyone check my answer plzz!!

    1)evaluate the function for x=2f(x)=7x-5 A)9 B)19 C)-9 D)-19 2)Candy is on sale for $0.75 each you have a coupon for $0.25 off your total purchase write a function rule for the coast on n pieces of candy. A)C(n)=0.25n-0.75 B)C(n)=0.75n-0.25 C)C(n)=1.0n

  37. 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

  38. Math

    Which combination could create the function f(x)= x√x? adding a rational function and a linear function adding a linear function and a logarithmic function multiplying a linear function and a square-root function dividing an exponential function and a

  39. Math

    flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you

  40. Math

    1. determine the interval(s) where the function f(x)= -1 / 2x+10 is a) positive b) Increasing 2. Consider the function f(x) = 3 / 4x-5 a) Determine the key features of the function: i) Domain and range ii)Intercepts iii) Equations of any asymptotes iv)

  41. College Algebra

    Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6

  42. Computer science

    While you can pass only one argument into a function, you can return as many values as needed from a function. True False A library function saves time for the programmer because it allows for code reuse. True False Each function should be flowcharted

  43. Algebra II

    Consider the function y = 1/x. A. What happens to the value of the function as the value of x gets very large? My answer: the value of the function increases. B. For what value of x is the function undefined? Explain why. My answer: 0, because it is not

  44. math

    The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 For B, the

  45. computer science check

    Which of the following examples correctly describes the order in which these parts of a program should be written? (Select the best answer.) A- The import command, then function definitions, then function calls B- Function definitions, then the import

  46. Maths B

    (a) What is the inverse of the function y = 3x2 ? (b) On the same set of axes, without the use of a graphical calculator, graph the original function and its inverse. (c) Is the inverse of the function also a function? Explain your decision.

  47. Calulus

    Consider the function y = 2x^3-3x^2+9x+5. 1. Find where the function is increasing, where the function is decreasing, and calculate all relative extrema (local max and local min) 2. Find where the function is concave up, where the function is concave down,

  48. trig

    1. Write a sinusoidal function for the function with a period of 6. The function has a max of 3 at x=2 and a low point of -1. 2. Write a sinusoidal function for the function with a period of 5. The function has a max of 7 at x=1. explain it in full detail

  49. Calculus HELP

    Original Function: -cos(3x) Derivative Function: 3 sin(3x) The period for the function and its derivative is 2π/3 radians. Over one period, when is the derivative function equal to its original function? That is, when is f(x) = f '(x) over 0≤x≤2π/3?

  50. Algebra 2 Sine Graphing

    A sine function has the following key features: Period=4pi Amplitude: 2 Midline y=3 Y intercept; (0,3) The function is a reflection of its parent function over the x axis.

  51. Math

    The function r(w) = 2aw-2 + b + c where a, b and c are constants. You are given that r(1) = 5; r’(4) = 12 and r′’(2) = 18. By substituting for w in the above function and its derivatives or otherwise, show that the three given function values give

  52. Math

    For each function, i) determine the corresponding reciprocal function, y =1/f(x) ii) state the non-permissible values of x and the equation(s) of the vertical asymptote(s) of the reciprocal function iii) determine the x-intercepts and the y-intercept of

  53. pre-cal: graphs of functions- fill in the blank

    To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points on the graph of a

  54. Math / Algebra

    Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?) Answer: True. 2. Does the function y = |x-2| have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it

  55. college math 116

    Functions are a lot like equations. In a function we look at the relationship of the variables. Does one variable depend on the other. In a function when you see f(x) it just means "y." So we have an equation y = 2x + 3 and a function that is f(x) = 2x +

  56. MATH URGENT!!!!!

    The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3. Function 2 y = 2x + 1 How much

  57. Math

    Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the cost to manufacture each

  58. College Algebra

    1.Give a quadratic function q(x) with a vertex of (-1, 2). 2. Give a function h(x) which does not have an inverse function. 3. Give a polynomial function g(x) with zeros 1,2,3 4. Give an exponential function s(x) passing through (0,2) and (4,1). 5. Give a

  59. algebra

    Give am example of a function f.N N with the property that there exists a function g. N N such that the composition got is the identity function on N but for no function h. N N does it hold that fog is the identity function on N.Prove all claims

  60. Math

    Create a function that closely gives the graph given in the link. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you did to create your function. b. List your

  61. Calculus HELP ASAP

    Listed below are four types of functions. Which does not possess a derivative of the same type? a) exponential function b) logarithmic function c) sinusoidal function d) linear function e) NO RESPONSE

  62. Math

    How would you rewrite the equation y = 3x+1 as a function of x. Hmmm. It is written now as a function of x. Do you mean like this, where x is a function of y? x= 1/3 y -1 ? Could this be a trick question? I thought It was already a function of x? Thanks

  63. Calculus

    flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function that closely gives the graph given below. The function may be a piecewise function but it does not necessarily have to be a piecewise function. a. Give a brief narrative explaining what you

  64. Math

    0.08x^3 + 0.6x+2.8 absolute-value function Rational function Another polynomial function Quadratic function

  65. calculus

    f(x)= 3+4xe^{-5x}complete the sentences concerning the function a) the function f is decresing on the iterval...... b) the function f is increacing on the interval c) the function f is concave down on the interval d) the function f is concave up on the

  66. Trigonometry

    In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please explain in detail the

  67. limit from graph

    How do I know if the limit of a function exists or not from that function's graph. Thanks. It the graph of a function becomes straighter at + and -infinity, it means that the function behaves linearly in the limit. However there may be other types of

  68. Calculus (Continuity)

    If the following function is continuous, what is the value of a + b? f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0

  69. 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?

  70. Math

    Redo problem 13 from section 1.8 of your textbook (page 62), but use the functions in the questions below rather than the functions in your textbook: (a) In order to express the function y = 1311 x − 4, as a composition of two functions the outer of

  71. Anthropology

    A group gathering for a marriage ceremony provides an example of which supernatural function? a)the euphoric function b)the revitalizing function c)supportive function d)all the above Anthropologists first began to explore the supernatural beliefs and

  72. Calculus

    Og Function: -cos(3x) Derivative Function: 3 sin(3x) The period for the function and its derivative is 2π/3 radians. Over one period, when is the derivative function equal to its original function? That is, when is f(x) = f '(x) over 0≤x≤2π/3? Round

  73. Algebra

    The function f(x)=x 3 +1 4 x−1 4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x) and its inverse f −1

  74. Algebra(1st one was typo)

    The function f(x)=x^3 +1/4 x −1^4 is a monotonically increasing function, hence it is injective (one-to-one), so its inverse function exists and is well defined. How many points of intersection are there, between the function f(x) and its inverse f^−1

  75. Computer Science

    Which abstract function(s) should be used to design: A function that consumes a non empty list of images and produces the image with the smallest area. If the function passed to the built-in abstract function is a closure, check the "use a closure" option.

  76. pre calculus

    Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a

  77. Calculus

    In order to express the function y=12^19x+7 as a composition of two functions the outer of which is an exponential function,we would let u be equal to the inner function, u=19x+7, and then write y as a function of u, as follows: y= ??? . (b) In order to

  78. MAT101

    1. What is a function? 2. What is a linear function? 3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?) 4. What is the formula for determining the slope of a line?

  79. Math Please Help

    The function Q(x) has been transformed from the function f(x) = x^4. The mapping rule for the function can be written as (2x + c, 4y + d). If the coordinate(1/2 ,1/16) on the function f(x) is transformed to (3,5) on Q(x), determine the value of c and d.

  80. Math Please Help ASAP

    The function 𝑄(𝑥) has been transformed from the function 𝑓(𝑥) = 𝑥^4 . The mapping rule for the function can be written as (2𝑥 + 𝒄, 4𝑦 + 𝒃). If the coordinate(1/2 ,1/16) on the function 𝑓(𝑥) is transformed to (3,5) on Q(x),

  81. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION)

  82. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION)

  83. Math

    Determine whether each verbal description represents a linear function or not. Correct me if I'm wrong on any of these!! 1. Jova walks quickly for 25 minutes then she rests for 5 minutes before continuing on for another 10 minutes. (NOT A LINEAR FUNCTION)

  84. Pre-Calculus

    The surface ares S (in square meters) of a hot air ballon is given by s(r)=4 pi r^2 where r is radius of balloon (in meters). If the radius r is increasing with time (in seconds) according to the formula r(t) = 2/3t^3, t is greater than or equal to 0, find

  85. 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

  86. Math

    1. The function r(w) = 2aw-2 + b + c where a, b and c are constants. w You are given that r(1) = 5; r’(4) = 12 and r′’(2) = 18. By substituting for w in the above function and its derivatives or otherwise, show that the three given function values

  87. Precalc

    In this function, f(x)= [2/(x-3)]+1: I know it is a rational function and the graph moves 1 unit up and 3 units right. I also see that the 2 makes the function move closer, but I don't understand why it does that in mathematical terms.

  88. Algebra 2B

    Come up with a new linear function that has a slope that falls in the range −< < 1 0 m . Choose two different initial values. For this new linear function, what happens to the function’s values after many iterations? Are the function’s values getting

  89. Software

    The questions said List four major functions of an OS? The answer i put was Function 1: Provide a user interface Function 2: Manage files Function 3: Manage hardware Function 4: Manage applications Is my answer correct?

  90. Math

    Using the distance function s(t) = t2 + 4t + 30, "s" is in feet and "t" is in seconds, find the velocity function, v(t), and acceleration function, a(t).

  91. math, please somebody help me

    Given the function f(x) = x4 , and suppose g(x) is some other function of x. (a) Then the function F(x) = (g(x))^4 is the same thing as ... a. f '(g(x)) · g'(x) b. f(g(x)) c. f '(x) d. f '(g(x)) e. g(f(x)) (b) By either the extended power or the chain

  92. Math

    Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it?

  93. Math (Limits)

    Consider the following function. f(x) = 2x^2 − 8x Find the limit. lim (Δx->0) (f(x+Δx)-f(x))/(Δx) How would I set up the equation to work with that function? I know how to plug in the values usually, but how would I do this for that function

  94. software

    The questions ask List four major functions of an OS. My answer: Function 1: Provide a user interface Function 2: Manage files Function 3: Manage hardware Function 4: Manage applications Is my answer correct?

  95. Algebra

    Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the cost to manufacture each

  96. C++

    Question 3: What specific information does the compiler need to perform a successful function call? I figured it was just a function definition, initialized variables, and a function declaration, but I guess I was wrong.

  97. Pre-calculus

    Write a function for the surface are of a cylindrical cans (12 oz) in terms of the radius. Show your work (no height in this function) Graph of the function found and label the x and y axis with an appropriate scale.

  98. Infinitives in Phrases

    Identify the infinitive in the following sentences and it's function. 1. The librarian was happy to help. Infinitive is to help The function of the infinitive is direct object 2. His greatest wish, to fly, was never fulfilled. Infinitive is to fly

  99. math

    i need to find when the function increases or decreases, this is the derivative of the function (10 − 3x)/(2 ¡î5 − x) but how do you solve the function when x is zero?

  100. pre cal

    The function f(x)=x2+6x+18 can be obtained from an even function g by shifting its graph horizontally and vertically. That even function is g(x)= ?

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