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Ohio EOCE Integrated Math I: Functions Overview 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. What is the domain of the function below?

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

Question 3 3.

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

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

Question 4 4. Which graph below is a function?

Question 5 5. What is the inverse function of f(x) = 3(x - 2)3?

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Question 6 6. 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 7 7.

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 8 8.

Find f(g(2)) if:

f(x) = x^2

g(x) = x^3

Question 9 9. Which one of these functions has a domain of all real numbers?

Question 10 10. Find the FALSE statement.

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Question 11 11.

Find the domain of f(f(x)) if

f(x) = (x+1)/x

Question 12 12. 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 13 13. Which of the following makes an equation a relation rather than a function?

Question 14 14. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 15 15.

Find the inverse of the following function:

f(x) = 2x + 1

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Question 16 16. Remembering function notation, we want x to be w. Therefore, if

Question 17 17. Which interval(s) offers a solution?

Question 18 18.

Find the domain of f(g(x)), if:

f(x) = 1/x

g(x) = 1/(x+4)

Question 19 19. Evaluate f(f(x)). [Yes, it says f(f(x)]

Question 20 20. What notation do you use to show that you have an inverse function?

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Question 21 21. How do you determine whether a function is an inverse of another function?

Question 22 22. Which of the following describes the 'composite' of two functions?

Question 23 23. Which of the following statements is true?

Question 24 24. Find the domain of f(x)/g(x), if:

Question 25 25. Evaluate f(x) = √(x), when x = 9.

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Question 26 26. Using the function below, evaluate g(7).

Question 27 27. Using the graph, find f(f(-2)).

Question 28 28.

Which of the following is important to remember?

A. Write out each step.

B. Test all solutions.

C. Set denominator equal to 0.

Question 29 29.

Find the domain of f(x) + g(x) if

f(x) = 2x and

g(x) = sqrt (x+ 5).

Question 30 30. What is a rational function?

Ohio EOCE Integrated Math I: Functions Overview 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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