Algebra 1 Functions Domain and Range Review PDF

[Pages:3]Algebra 1

Functions, Domain, and Range Review

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1) When is a relation a function? What are some ways to tell if a relation is a function?

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2) What is the domain of a function? What is the range of a function? Given a member of the domain, how do you find its value in the range?

If f (x) = -4x - 7, find... 3) a) f (3) b) f (-7)

If f (x) = -3x2 - 2x + 1, find... 4) a) f (-4) b) f (0)

For each question, decide if it is a function. Then find the domain and range in set builder notation.

5) y 8

6

4

2

6) y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

7) y 8

6

4

2

-8 -6 -4 -2 -2

2 4 6 8x

-4

-6

-8

8) y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

Given the function and a domain, find the range.

9) f (x) = -7x + 3, D={-12, -4, 3, 20}

10) f (x) = 2x2 - 2x + 5, D={-2, -1, 0, 1, 2}

11) f (x) = 4x - 1, D={x|x}

12) f (x) = 2x2 - 6x + 11, D={x|x}

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Worksheet by Kuta Software LLC

For each question, decide if it is a function. Then find the domain and range in set builder notation.

13) y 8

14) y 8

6

6

4

4

2

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

15) y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

16) y 8

6

4

2

-8 -6 -4 -2 -2 -4 -6 -8

2 4 6 8x

If f (x) = -3x - 2, find... 17) a) f (0) b) f (4) c) f (-1)

If f (x) = -11x2 - 5x + 13, find... 18) a) f (1) b) f (-1) c) f (-4)

Given the function and a domain, find the range.

19) f (x) = -6x - 1; D={-2, -1, 0, 5}

20) f (x) = -3x2 + x + 8; D={-2, -1, 0, 1}

21) f (x) = 2x2 + 8x + 3; D={x|x}

22) f (x) = -4x2 + 8x + 3; D={x|x}

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Worksheet by Kuta Software LLC

Answers to Functions, Domain, and Range Review

1) Every input has OAOO output; find an x with more than one y / vertical line test

2) Set of inputs; set of outputs; set x to the domain value and calculate y

3) a) -19 b) 21

4) a) -39 b) 1

5) yes; All real numbers for both: D={x|x}, R={ y|y}

6) yes; D={x|x}, R={ y|y -4} 7) not a function; D={x|x -3}, R={ y|y}

8) not a function; D={x|-2 x 6}, R={ y|-6 y 2}

9) R={87, 31, -18, -137}

10) R={17, 9, 5}

11) R={ y| y}

12) R={ y| y 2}

13) yes; D={x|x}, R={ y|y=-2}

14) no; D={-3}, R={-4, 0, 4}

15) yes; D={x|x}, R={ y|y}

16) no; D={x|-5 x < 5}, R={ y|-2 y 2}

17) a) -2 b) -14 c) 1

18) a) -3 b) 7 c) -143 19) R={11, 5, -1, -31} 20) R={-6, 4, 8, 6}

21) R={ y| y -5}

22) R={ y| y 7}

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Worksheet by Kuta Software LLC

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