Assume that the function f is a one-to-one function. (a) If f(2) = 3, find f-(3). Your answer is (b) If ƒ-1(-7) = –9, find f(-9). Your answer is

Q: Determine where the graph of the function F(x) =x²-15x downward. Also, find all inflection points of…

A: We need to determine where the graph of the function f(x)=x3-15x is concave upward and where it is…

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr., stops 1…

A: Given : A man drives from Detroit to Chicago, say 300 mi., at an average speed of 60 mi. per hr.,…

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: 1 f(x) = +3 -x+2

A: Topic = Functions

Q: Describe the end behavior of the function f (æ) = -2x+ 3x2 – 5a + 1. f (x) as x → ,f (x)→ as x →

A: We have to describe the end behavior of the function f(x)=-2x4+3x2-5x+1.

Q: Find the Relative Change in the values of the function f(x) = x³ + 2 between x = 1 and x = 2.4

A: At x =1 ; f(1)=13+2=1+2=3At x=2.4f(2.4)=(2.4)3+2 =15.824

Q: A 400-room hotel can rent every one of its rooms at $120 per room. For each $1 increase in rent, two…

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Q: Use the graph of f to draw the graph of its inverse function.

A:

Q: Which one of these statements in relation to the function f(x)= x+3/x is false?

A: Explanation of the answer is as follows

Q: Differentiate the function with respect to the independent variable. f(x) = (6 - 5x²) ³ f'(x) =O

A: Given, fx=46-5x23

Q: find the interval where the function is increasing or decreasing  f(x) = 6/x-4

A: Function is not defined at x=4  there are two intervals where the function is defined   ( -∞,4 ) and…

Q: Determine the equation of the line tagent to the function f(x)=x(5-x)4 at x=3

A:

Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

A:

Q: Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it…

A: f(x) = x2  - 11 It is quadratic function.

Q: The original function, f(X) =X², is transformed by a horizontal shift of 2 units to the right. What…

A: The given function is fx=x2. We have to find the transformation of the horizontal shift by 2 units…

Q: Differentiate the function.   f(x)  =π2

A: Given:fx=π2

Q: Find the length of the function f(x)=25-(1/2)x from x=3, and x=6 Length=

A: given f(x)=y=25-x2diffrentiatedydx=-12

Q: Find the domain of the function.

A: Given: fx=13x-6 To Find: Domain of the given function

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 -9,…

A: The function f(x) is given by :                    f(x)=x2-9; at (0, 2)     To determine:…

Q: Show whether the function y=x² is considered as even or odd function

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Q: Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, (0,…

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Q: Find the value of the function f(-x)=?

A:

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

A: According to the given information:P is defined as the perimeter of the rectangleW be the width of…

Q: Let f(x) = x g| where g(x) is a function. 2 Which is the correct expression for f'(2x) ?

A: Given function f(x) - f(x) = x gx2To find out f'(2x), we first differentiate f(x) with respect to x,…

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x2 - 9, (0,…

A: I use second derivative test to find out where distance is minimum

Q: is the function odd, even, or neither?

A:

Q: Find f-1 for the function f (x)= x- 2+8. A. f(x) = (x-8)' +2

A:

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)…

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Q: When is the function said to be real-valued?

A: The function is said to be a real valued function if it assigns a real number for each input value…

Q: Find the inflection points of the function f(x)=x+x5/3.

A: Inflection points are the points where the second derivative is zero. So differentiating with…

Q: Is the function f(x) = x3 one-to-one?

A: Given: fx=x3 Horizontal line test: If no horizontal line intersects the graph of the function more…

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: Is the function f(x)=x' +x-1 even, odd, or neither?

A:

Q: Find the slope of the graph of the function at the given point. f(x) = V1 - x3, (-2, 3) f'(-2) =

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Q: Suppose that f is a linear function with slope -2 and that f(2) = 6. Find the equation for f. (Use x…

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Q: Differentiate the function with respect to the independent variable. f(x) = - 3x° + 4x$ – 7

A:

Q: Graph the function on the interval [-5, 1). f(x) = [[x+5]] 5- 4- 3 V

A: Break the function as a branch function as in next step.

Q: xpressed as a function of x.

A: Given,

Q: Evaluate the function f(x)=x+4 when x=3

A: To evaluate the function f(x)=x+4 when x=3

Q: Give the range of the function in interval notation f(x) =2(x+1)2 + 7

A:

Q: Find the points of inflection of the function f(x)=x2lnx.

A: Inflection points are the points at which second derivative is zero. So differentiating f(x) with…