TExES Core Subjects EC-6: 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. Which of the following makes an equation a relation rather than a function?

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

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

Question 4 4. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 5 5.

Find the inverse function of:

y = 1/x

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Question 6 6.

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

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

Question 7 7. What is the inverse function of f(x) = 3(x - 2)3?

Question 8 8. What notation do you use to show that you have an inverse function?

Question 9 9. In the figure shown below, the graph of the yellow function is a translation of the graph of the blue function. If the expression for the blue function is y(x) = b(x), which of the following is the equation of the yellow function?

Question 10 10. Which graph below is a function?

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Question 11 11. Which of the following is the inverse function of f(x) = 2x - 3?

Question 12 12. Which function would NOT pass the horizontal line test?

Question 13 13. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

Question 14 14.

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

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

Question 15 15. Which kind of transformation stretches or shrinks the graph of the function?

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Question 16 16. Which of the following statements is true?

Question 17 17. How do you determine whether a function is an inverse of another function?

Question 18 18. Find the FALSE statement.

Question 19 19. Which of the following is the inverse function of f(x) = 3x?

Question 20 20. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

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Question 21 21. Which kind of transformation would change the purple function below into the yellow one?

Question 22 22. Which set of ordered pairs is NOT a function?

Question 23 23. 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)?

Question 24 24.

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

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Question 26 26. Which of the following is written in function notation?

Question 27 27.

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

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

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

Question 29 29. When the graph of f(x - 1) + 3 is changed into the graph of f(x + 1) + 3, the graph will shift in which direction?

Question 30 30. Given the function below, evaluate g(7).

TExES Core Subjects EC-6: 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!

TExES Core Subjects EC-6 (291): Practice & Study Guide  /  General Courses
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