Question 2x - 8 For the function g(x) = evaluate g(2). 6x + 6 Provide your answer below: g(2) =

Q: Express the perimeter P of a rectangle as a function of the width W if the length of the rectangle…

A: GIVENThe length of the rectangle is twice its width W

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist? (show full…

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Q: 3) Without a graph, how can one show differentiability of a function at a point? 4) Where is the…

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Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

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Q: Even,odd, or neithe?

A: The given function is f(x)=x55+x4

Q: (3 - 35. f(x) = if x 2

A: We need to sketch the graph of the following function :

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

Q: The function f is given by f (x) = (1+x)=. How do the values of f behave for small positive and…

A: Here we define  f  for small or large positive value of x.

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: Question 1 Use the First Derivative Test to find the local maximum and minimum values of the…

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Q: How can we write a formula for this function?

A: The given function is a pair of two lines which are joined continuously. We will find the formula of…

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

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Q: If equations for functions f and g are given, describe two ways to find (f – g)(3).

A: f-g3Subtraction of two function:f-gx=fx-gx

Q: 1-x 4. Determine if the equation y=- is a x² -2x function

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Q: Find the point on the graph of the function f (æ) =(x– 7 )4/2 that is closest to the point ( 16, 0).…

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Q: 5. When functions are defined by more than one equation, they are called functions.

A: When functions are defined by more than one equation, they are called piece-wise defined functions.

Q: 2. If the point (3, 27) lies on the graph of the function f(x) = x³ , what point must lie on the…

A: Given point is (3,27) Function f(x) = x3f(3) = 33 = 27 The graph is

Q: 2. If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2.

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Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

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Q: (1+ 3x X 1

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 7x² – 5x

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Q: You have 600 yards of fencing to enclose a rectangular field. Express the area of the field, A, as a…

A: Since the length of fencing of a rectangular field is 600 yards, which means that the perimeter of…

Q: If equations for functions f and g are find f + g. given, explain how to

A: Equations of the functions f and g are given.

Q: linearization

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Q: Solve the Problem. Approximate the curve of the given function f. f(x) = x³ + 2x2 – 15x

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Q: 9) Differentiate the following function. Simplify your answer as much as possible. Show all steps y…

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Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

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Q: Q4:- Sketch the following functions showing the detailed steps in different graphs: f) f(x) = 1-x2

A: fx=11-x2

Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

A:

Q: The graph of y ={(x) = V- 9 is horizontally stretched away from the y-axis by a factor of3 to…

A: fx=x-9

Q: f(g(-3)) = . g(f(-1) =,

A:

Q: 2. How does the value of a affect the graph of the general function ru y = af(x - h) + k? 3. How…

A: a decides the direction of parabola. If it is positive graph opens upwards, if it is negative, graph…

Q: Consider the functions f(x)=ln(x2) and g(x)=2ln(x). a. Are they equivalent? If yes, explain why. If…

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Q: 0. if a 2

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Q: у 3 х — 2 - y? = What are the points of intersection of these two functions?

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Q: The graph of y= f(x)= √x-9 is horizontally stretched away from the y-axis by a factor of 3 to…

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Q: 5) f(x) = ²-4 x-2 4 if x # 2 if x = 2 Is f(x) continuous at x=2? Sketch the graph of the function.

A: (5) Solution:- Function can be written as :- Continuity of x2-4x-2:x<2  or   x>2, &  4  :…

Q: Find the point on the graph of the function that is closest to the given point.

A: Given:

Q: For this process we'll use the function f(x) = x² - 2.

A: Given Equation: f(x)=x2-2 To calculate: Newton's method of finding x1 and x2

Q: 4. What is the equation for the function shown here? 2

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Q: What is the degree, leading term, leading coefficient, and constant term of the functions below? How…

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Q: Find the domain and range of the function: 1 1- V5 - x

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Q: 36-x f(x) = 35 - x -x+1 what The domain of the function

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Q: What is the domain of the function y = 3sin–1(2t)?   Can you explain how to think about the above…

A: The given function,

Q: If you are given the equations of two functions f(x) and g(x), how can you determine the composition…

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Q: You have 600 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: To Determine: Express the area of the field, A, as a function of one of its dimensions, x. Given:…

Q: You have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: Rectangular field: You have 800 feet of fencing to enclose a rectangular field. One side of the…