Let f(x) = (x – 5)² Give the largest domain on which f is one-to-one and non-decreasing. Preview Give the range of f . Preview Find the inverse of f restricted to the domain above. f- (x) = %3| Preview Give the domain of f-1. Preview Give the range of f-.

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A: This question is related to function . solve in step 2.

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A: Given, The domain of a one to one function is [0,∞) and its range is [5,∞). To find the domain and…

Q: Assume that f is a one-to-one function. If f(3) = 5 and f(-1) = 4, what is f-1(5)?

A: f is one to one function and f(3)=5,f(-1)=4.

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A: Given function is fx=2x2+4 and y=x2.

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A: Solution is given below....

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Q: The function notation f^-1 (x) mean 1/f(x)

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A: To graph the function fx=x+22-2 using transformation by graphing the function y=x2. Solution: Graph…

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A: Given function:                    f(x) = x-32,  0≤x≤5

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A: fx=1-x2    if  x<11x       if  x≥1 To check the continuity at a = 1. we find the left hand and…

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A: f(x)=x2 is the parent funciton  Make a table for the parent function  x                   f(x) -2…

Q: 1. Determine the range and the domain of f(x) = 1

A: Solution :  To find the range and domain of the given function is   f(x) = 1/(x^2 + 1 )

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Q: What is the new function g (x) after vertically stretching f (x) = 5(2-2) by a factor of 3?

A: To find the new function g(x) after vertically stretching f(x)=5(x-2) by a factor of 3.

Q: 7. Consider the function g(x) ==-4. Describe how the function g(x) was transformed from the parent…

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Q: The inflection point of the function f(x) = x³ – x² + 5x +1 is: 70 (3, 27 70 (-3,–) 27 (-3 70 (-3,…

A: Given function is fx=x3-x2+5x+1

Q: Identify a function f that has the given characteristics. f(-3) = f(1) = 0; f'(-1) = 0, f '(x) 0…

A: Given: f-3=f1=0; f'-1=0, f'x<0 for x<-1;  f'x>0 for x>-1

Q: Differentiate following functions the f(x) = x²-1 2²71

A: I have given the answer in the next step. Hope you understand that

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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 inverse function of f(x) = (x – 7) where x > 7. Specify the domain for f-(x) f (x) Domain…

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Q: 3 %3D 2. Complete the table to describe all the end behaviours of the function f(x) = (x+2)2 As x -…

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Q: 2. Let f(x) be the following piecewise-defined function -x3 – 6, x 2 (a) Sketch the graph of f(x).…

A: Definition used –           Piecewise function –  A piecewise function is a function in which more…

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Q: Activity #2: Differentiate the following functions. 7. f(x)= (x - 2) (x - 1)²

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Q: Let f(x) be a one-to-one function with the point (-1,2). If f'(-1) = 12, then find f-1(2)

A: fx be the one-one function having the point -1,2 and f'-1=12. So the inverse function is f-1(y)=x if…

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Q: Sketch a graph of the piecewise defined function.

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