# Interpreting, Analyzing & Graphing Functions Chapter Exam

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#### Question 1 1. All of the following are piecewise functions, EXCEPT:

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Question 2
2.
Evaluate the function for the given inputs:

f(x) = -x - 1

Domain = {0, 1, 2}

#### Question 3 3. Describe the behavior of this function: as x increases, what happens to y?

#### Question 4 4. The graph pictured…

#### Question 5 5. When a function is decreasing at an increasing rate, what does the graph look like?

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#### Question 6 6. What is the horizontal asymptote of the following function?

#### Question 7 7. The plot of x - y = 10 is the same as the plot of:

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Question 8
8.
How can you compare the rate of change of two functions written numerically as tables?

A. You can leave them both as tables.

B. You can convert them both to graphs.

C. You cannot compare the rate of change.

#### Question 9 9. Write the algebraic expression y = -2x + 6 using function notation

#### Question 10 10. The domain of a function are the _____.

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#### Question 11 11. What is a numerically written function?

#### Question 12 12. The graph of y - x + 10 = - (8 + x) is a _____

#### Question 13 13. Complete the phrase: The graph of a function will never ___________.

#### Question 14 14. Provide a definition of an algebraic function

#### Question 15 15. What is(are) the vertical asymptotes of the following function?

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Question 16
16.
Which graph represents this piecewise function?

f(x) = 2x, x < 1

f(x) = x² - 1, x ≥ 1

#### Question 17 17. Which of these functions has a higher rate of change?

#### Question 18 18. Which of the following is a point on the function y = 3x - 2?

#### Question 19 19. The vertical line test helps to show

#### Question 20 20. What is the most common piecewise function?

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#### Question 21 21. The total number of hermit crabs in Hal's House of Hermits on a given day can be modeled by the function y = 50 + 2x, where x is the number of days the house has been in operation and y is the total number of hermit crabs. Describe the functional relationship between the number of days the house has been open and the number of hermit crabs it contains.

#### Question 22 22. Determine the rate of change of the following graph.

#### Question 23 23. What type of Rate of Change does this graph show?

#### Question 24 24. Which of these functions has a higher initial value? (initial value is the value of the function when x = 0).

#### Question 25 25. 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?

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#### Question 26 26. Which of the functions shown is decreasing at a greater rate?

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Question 27
27.
Which portion(s) of this piecewise function would include an open endpoint?

f(x) = 2x +3, x>2

f(x) = 3x - 4, x = 2

f(x) = x-2, x <2

#### Question 28 28. Linear Rates of Change are determined by _____ repeatedly.

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Question 29
29.
Consider the function *y = x + 2*. Describe the functional relationship between x and y in this function.

#### Question 30 30. The graph of y = (1 + x)^2 will lie in which quadrants?

#### Interpreting, Analyzing & Graphing Functions 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!