Questions

For the first two problems, state whether each relation represents a function. Write yes or no, and then explain your choice.

1) {(–10, –4), (–8, –2), (–5, 1), (0, 6)}

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2) {(20, 4), (20, –4), (29, 5), (29, –5)}

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For the next two problems, state the domain and range of each function.

3) {(–2, –26), (0, –6), (3, 24), (8, 74)}

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4) {(–6, 39), (–4, 19), (2, 7), (3, 12)}

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5) Evaluate the function for (a) x = –2, (b) x = 0, and (c) x = 2.

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6) Evaluate the function for (a) x = –2, (b) x = 0, and (c) x = 2.

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7) Evaluate the function for (a) x = –2, (b) x = 0, and (c) x = 2.

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For the next three problems, find the sum and difference for each set of functions. State the letter of the correct answer.

8) Find f + g and f – g.

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9) Find f + g and f – g.

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10) Find f + g and f – g.

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For the next three problems, find the product and the quotient for each set of functions. State the letter of the correct answer.

11) Find “f x g” and “f / g”. State any domain restrictions.

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12) Find “f x g” and “f / g”. State any domain restrictions.

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13) Find “f x g” and “f / g”. State any domain restrictions.

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14) Compose the given functions as directed below. State the answer for each composition.

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15) Compose the given functions as directed, and then state the letter of the correct answer.

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16) Compose the given functions as directed, and then state the letter of the correct answer.

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For the next two problems, (a) state whether the relation is a function, (b) list the ordered pairs of the relation’s inverse, and (c) state whether the inverse is a function.

17) {(0, 1), (1, 4), (2, 9) (3, 16)}

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18) {(4, 5), (5, 10), (4, 6) (3, 2)}

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19) True or False. The inverse of the graph is a function.

True

False

20) True or False. The inverse of the graph is a function.

True

False

When entries require non-standard keyboard characters for equations in fraction form, write the equations as illustrated below:

21) Find the equation of the inverse of the given function.

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22) Find the equation of the inverse of the given function.

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23) Explain how the domain and range of a function compare to the domain and range of its inverse.

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24) Compare and contrast the vertical line test and the horizontal line test.

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25) Explain how to determine the solution to the given question.

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