# CEOE Middle Level/Intermediate Math: Introduction to Functions Chapter Exam

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Question 1
1.
What is the domain of the function *f(x)* = *x*?

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Question 2
2.
What is the range of the function: *g*(*x*) = |x| + 1

#### Question 3 3. 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?

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Question 4
4.
Does the following equation have a maximum or a minimum? What is it?

*y* = 3*x* - 2*x*^2 + 5

*y*= 3

*x*- 2

*x*^2 + 5

#### Question 5 5. Using the function below, evaluate g(7).

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#### Question 6 6. Which function would NOT pass the horizontal line test?

#### Question 7 7. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

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Question 8
8.
The cost to produce a stuffed bear can be determined by the equation *y* = 0.01*x*^2 - 4*x* + 100. Is this equation used to find maximum or minimum cost, and what is it?

#### Question 9 9. Find the FALSE statement.

#### Question 10 10. What is the domain of the function below?

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Question 11
11.
Find the inverse function of:

y = 1/x

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

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Question 13
13.
For a function f(*x*), what is f-1 (3*f(*x*))?

#### Question 14 14. What is f(g(2)) if g(x) = x^2 and f(x) = x^3?

#### Question 15 15. What is f(2) if f(g(3)) = 1 and g(x) = x-1?

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#### Question 16 16. What notation do you use to show that you have an inverse function?

#### Question 17 17. Explain why the expression x = 2 is NOT a function:

#### Question 18 18. Suppose you go to the grocery store and see that apples are on sale for $0.50 cents each, and you see there are 5 apples left that are available to buy. The amount of money you spend on apples is determined by how many apples you buy, so the amount of money spent on apples is a function of how many apples you buy, where number of apples bought is your input, and money spent on apples is your output. The given function table is used to represent this function. Find the rule, in equation form, for this function table, and fill in the missing entry.

#### Question 19 19. What is the set of inputs for a function called?

#### Question 20 20. Which one of these functions has a domain of all real numbers?

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#### Question 21 21. Evaluate.

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Question 22
22.
What is the inverse function of f(*x*) = *x*/8 + *x* + 2?

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Question 23
23.
If f(*x*) = 5 - 2*x* and g(*x*) = -4*x* + 2, find g(f(*x*)).

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Question 24
24.
Find the inverse function of f(*x*) = 1?

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Question 25
25.
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 26 26. If the graph of f(x) is shown below, which choice represents the graph of f(x + 1) + 2?

#### Question 27 27. Which set of ordered pairs is NOT a function?

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Question 28
28.
What is g(f(*x*)) if f(*x*) = g-1 (*x*)?

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Question 29
29.
The area of a rectangle can be determined by using the following equation *y* = 60*x* - 2*x*^2. Is this an equation to find the maximum or minimum area, and what is it?

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

#### CEOE Middle Level/Intermediate Math: Introduction to 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!