Algebra 2 - Unit 2 Functions - Need Graph Paper

Name___________________________________

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ALG 2 TEST REVIEW

Date________________ Period____

Sketch the graph of each line.

7 3

3 2

1) y = x - 3

2) y = x + 5

3) x - 2 y = 4

4) 3 x + 5 y = 0

Write the slope-intercept form of the equation. 5) Slope = -1, y-intercept = 4

6) through: (2, -3), slope = -

7) through: (5, 0) and (2, -3)

8) through: (-1, 3), parallel to y = - x + 4

9) through: (-3, -1), perp. to x = 0

10) Slope = 0, y-intercept = 3

4 3

Evaluate each function. 11) k(a) = 5 -a + 2; Find k(-2)

12) w(a) = 2 a - 2 - 2; Find w(-5)

13) k( x) = 4 x + 3; Find k(-5)

14) f (n) = n 2 - 1; Find f (-6)

15) g(a) = -2a - 1; Find g(a + 4)

16) g(n) = 4n - 1; Find g(-3n)

Worksheet by Kuta Software LLC

-1-

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Find the Domain and Range of each graph. Is it a function? Is it one-to-one? 17) D:

R:

Function?

18) D:

1-to-1?

R:

Function?

1-to-1?

y

-8

-6

-4

y

8

8

6

6

4

4

2

2

-2

2

4

6

8 x

-8

-6

-4

-2

2

-2

-2

-4

-4

-6

-6

-8

-8

4

6

8 x

Graph each equation. State the DOMAIN and RANGE. 19) y = 2 x - 3

20) y = -3 x + 4 + 4 y

y

6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

{

21) f ( x)=

6 5 4 3 2 1 1 2 3 4 5 6 x

x + 1, x < 0 2 x - 3, x ³ 0

23) f ( x) = - x

-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6

1 2 3 4 5 6 x

{

2 x, x<3 22) f ( x)= 3 -2 x - 6, x ³ 3

24) f ( x) = 6

Worksheet by Kuta Software LLC

-2-

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Answers to ALG 2 TEST REVIEW 1)

2)

y

3)

y

y

6

6

6

4

4

4

2

2

2

-6 -4 -2

2

4

6 x

-6 -4 -2

2

4

6 x

-6 -4 -2

2

-2

-2

-2

-4

-4

-4

-6

-6

-6

4)

5) y = - x + 4

y

4 3

6) y = - x -

6

4

6 x

1 3

4 2 -6 -4 -2

2

4

6 x

-2 -4 -6

7) y = x - 5 11) 27 15) -2a - 9 19)

y

9) y = -1 13) -17 17) y

6

6

4

4

2

2

-6 -4 -2

22)

8) y = - x + 2 12) 12 16) -12n - 1 20)

2

4

6 x

2 -2

-4

-4

-6

-6

23)

y 8 6 4 2

-6 -4 -2

-2

10) y = 3 14) 35 18) 21) Answer key not done

4

6 x

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

24)

y

y

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

2 4 6 8 x

8 6 4 2 2 4 6 8 x

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

2 4 6 8 x

Worksheet by Kuta Software LLC

-3-

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Infinite Algebra 2 - ALG 2 TEST REVIEW

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