SHSAT Math: Properties of Functions Chapter Exam

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!

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Question 1 1. Using the graph, find f(f(-2)).

Question 2 2. Which of the following is the inverse function of f(x) = 2x - 3?

Question 3 3.

Use f(x) and g(x) to find f(x) * g(x).

f(x) = -x + 5 and g(x) = 3x + 2

Question 4 4. Which of the following statements is true?

Question 5 5.

Use f(x) and g(x) to find f(x) + g(x).

f(x) = -x + 5 and g(x) = 3x + 2

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Question 6 6. Which of the following describes the 'composite' of two functions?

Question 7 7. What notation do you use to show that you have an inverse function?

Question 8 8. What is the range of the function: g(x) = |x| + 1

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

Question 10 10. Which one of these functions has a domain of all real numbers?

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Question 11 11.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

Question 12 12.

Find the domain of the inverse function of:

f(x) = 1/(x-3)

Question 13 13. Evaluate f(f(x)). [Yes, it says f(f(x)]

Question 14 14.

Find the inverse of the following function:

f(x) = 2x + 1

Question 15 15. What is the domain of √(x)?

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Question 16 16. Which kind of transformation would change the purple function below into the yellow one?

Question 17 17. Use the graph to find f(f(2)).

Question 18 18. Evaluate.

Question 19 19. The collection of all the outputs of a function is known as the _____.

Question 20 20. What is the range of the function represented by the graph below?

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Question 21 21. 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?

Question 22 22. How do you determine whether a function is an inverse of another function?

Question 23 23. Which function would NOT pass the horizontal line test?

Question 24 24. Find the FALSE statement.

Question 25 25. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

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Question 26 26.

What is the composite of the function below and its inverse?

f(x) = (x-2)/3

f^(-1)(x) = 3x + 2

Note: f^(-1)(x) indicates the inverse of the function f.

Question 27 27. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 28 28. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Question 29 29. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

Question 30 30. Which kind of transformation stretches or shrinks the graph of the function?

SHSAT Math: Properties of 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!

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