# MTLE Mathematics: Functions Chapter Exam

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

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

#### Question 3 3. The graph of y = (1 + x)^2 will lie in which quadrants?

#### Question 4 4. The graph of y = x - 2 will pass through which quadrants?

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

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#### Question 6 6. The graph of y - x + 10 = - (8 + x) is a _____

#### Question 7 7. How do you determine whether a function is an inverse of another function?

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Question 8
8.
What is g(f(*x*)) if f(*x*) = g-1 (*x*)?

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Question 9
9.
Write the composite function *f(g(x))* when *f(x)* = *x*^2 + *x* + 1 and *g(x)* = *x* + 1.

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Question 10
10.
Find the inverse function of f(*x*) = 1?

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#### Question 11 11. 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 12 12. Which function would NOT pass the horizontal line test?

#### Question 13 13. Which of the following statements is true?

#### Question 14 14. The plot of x - y = 10 is the same as the plot of:

#### Question 15 15. Which one of these functions has a domain of all real numbers?

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#### Question 16 16. The collection of all the outputs of a function is known as which one of the following?

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Question 17
17.
Evaluate the function for the given inputs:

f(x) = -x - 1

Domain = {0, 1, 2}

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Question 18
18.
If *f(x)* = *x* and *g(x)* = 1 / *x*, what is the domain of *f(g(x))*?

#### Question 19 19. Provide a definition of an algebraic function

#### Question 20 20. Evaluate h(x) = 5x + 1, when x=3.

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#### Question 21 21. Write the algebraic expression y = -2x + 6 using function notation

#### Question 22 22. What is the domain of √(x)?

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Question 23
23.
What is the domain of the function *f(x)* = *x*?

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Question 24
24.
Which of the following function tables has rule *y* = 2*x* + 5 where *x* is an integer that is greater than or equal to -3 and less than or equal to 2?

#### Question 25 25. What is the inverse function of f(x) = 3(x - 2)3?

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#### Question 26 26. What is the range of the function represented by the graph below?

#### Question 27 27. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 28 28. Assume you are looking to buy a new car. You have it narrowed down to a BMW 328, an Audi A3, or a Porsche Boxster. The destination charge is determined by which model you buy, so the destination charge is a function of the model. The model is the input, and the destination charge is the output. For the BMW 328, the destination charge is $950. For the Audi A3, the destination charge is $895. For the Porsche Boxster, the destination charge is $995. Create a function table for this function.

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Question 29
29.
What is the range of the function *f(x)* = *x*^2?

#### Question 30 30. 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.

#### MTLE Mathematics: 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!