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# Introduction to Functions & Graphs Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

#### Question 1 1. Evaluate f(x) = √(x), when x = 9.

#### Question 2 2. Evaluate h(x) = 5x + 1, when x=3.

#### Question 3 3. If f(x) = -2x - 5 and g(x) = x^2 + 1, find f(f(x)).

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Question 4
4.
What is g(f(*x*)) if f(*x*) = g-1 (*x*)?

#### Question 5 5. Which function produces an output of 5 for an input of -6?

### Page 2

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Question 6
6.
What is the inverse function of f(*x*) = *x*/8 + *x* + 2?

#### Question 7 7. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

#### Question 8 8. Write the algebraic expression y = -2x + 6 using function notation

#### Question 9 9. Explain why the expression x = 2 is NOT a function:

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Question 10
10.
Evaluate the function for the given inputs:

f(x) = -x - 1

Domain = {0, 1, 2}

### Page 3

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Question 11
11.
Find the inverse function of f(*x*) = 1?

#### Question 12 12. When a function is decreasing at an increasing rate, what does the graph look like?

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Question 13
13.
If f(*x*) = 5 - 2*x* and g(*x*) = -4*x* + 2, find g(f(*x*)).

#### Question 14 14. The graph of y = (1 + x)^2 will lie in which quadrants?

#### Question 15 15. Function F increases at an increasing rate in the third quadrant before it reaches the origin. Then it decreases at a constant rate in the fourth quadrant. Which of the following shows one possible graph of function F?

### Page 4

#### Question 16 16. Provide a definition of an algebraic function

#### Question 17 17. Which of the following is a point on the function y = 3x - 2?

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Question 18
18.
Recalling function notation, we want *x* to be *w*. Therefore, if f(x) = (3x + 5) / 2, find f(w).

#### Question 19 19. Which of the functions shown is decreasing at a greater rate?

#### Question 20 20. The amount of money you spend on coffees every month can be calculated as a function of the number of drinks you order every month. What are the independent and dependent variables in this function?

### Page 5

#### Question 21 21. What is the domain of √(x)?

#### Question 22 22. The graph of y = x - 2 will pass through which quadrants?

#### Question 23 23. The graph of y - x + 10 = - (8 + x) is a _____

#### Question 24 24. The plot of x - y = 10 is the same as the plot of:

#### Question 25 25. If the domain of the function f(x) = x^2 is 0 ≤ x, what is the range of f?

### Page 6

#### Question 26 26. When a function is increasing at a constant rate, what does the graph look like?

#### Question 27 27. The graph pictured…

#### Question 28 28. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

####
Question 29
29.
For a function f(*x*), what is f - 1 (3 * f(*x*))?

####
Question 30
30.
Find f(*x*) if f-1 (*x*) = *x*3 + 2

#### Introduction to Functions & Graphs Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!