Lesson 2.7  Skills Practice Name_________________________________________________________ Date__________________________

What, Not Lines? Introduction to Non-Linear Functions

Vocabulary Sketch a graph of each given function. 1. absolute value function

2. square or quadratic function

y

3. cube or cubic function

y

y

x

x

x

Problem Set Complete the table for each given function and use the values to graph the function. 1. y 5 |x| 1 3

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y

x

y 5 |x| 1 3

26

9

23

6

21

4

0

3

1

4

8 6 4 2 x

0 -8

-6

-4

0

-2

2

4

6

8

-2 -4 -6

3

6

6

9

-8

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Lesson 2.7  Skills Practice

page 2

2. y 5 __ ​ 1 ​ x2 2

x

y

1 2 y 5 ​ __  ​x   2

8 6

24

4

22

2 x

0

21 -8

-6

-4

0

-2

2

4

6

8

2

4

6

8

-2

0

-4

1

-6

3

-8

4

3. y 5 x3 2 2 y

x



y 5 x3 2 2

8



6

22

4

21.5

2 -6

-4

0

-2 -2 -4

1 1.2 1.7 2

404      •      Chapter 2      Skills Practice

-6 -8

© 2011 Carnegie Learning

-8

0

x

0

21

Lesson 2.7  Skills Practice

page 3

Name_________________________________________________________ Date__________________________ 4. y 5 __ ​ 1 ​ |x| 2

x

y

1 y 5 ​ __  ​|x|   2

8 6

28

4

24

2 x

0

22 -8

-6

-4

0

-2

2

4

6

8

-2

0

-4

2

-6

4

-8

8

5. y 5 x2 24



y

x

y 5 x2 24

8 6

23

4 © 2011 Carnegie Learning

22

2 -8

0 1

x

0

21 -6

-4

0

-2

2

4

6

8

-2 -4 -6

2

-8

3

Chapter 2      Skills Practice      •      405

Lesson 2.7  Skills Practice

page 4

6. y 5 __ ​ 1 ​ x3 2

x

y

1 3 y 5 ​ __  ​x   2

8 6

22.5

4

22

2 x

0

21 -8

-6

-4

0

-2

2

4

6

8

-2

0

-4

1

-6

2

-8

2.5

7. y 5 2|x|



y

x

y 5 2|x|

8 6

25

4

23

2

1

-6

-4

0

-2 -2 -4 -6

2 4

406      •      Chapter 2      Skills Practice

-8

2

4

6

8 © 2011 Carnegie Learning

-8

0

x

0

21

Lesson 2.7  Skills Practice

page 5

Name_________________________________________________________ Date__________________________ 8. y 5 __ ​ 1 ​ x2 4

x

y

1 y 5 ​ __  ​ x2 4

8 6

26

4

24

2 -8

0 2

x

0

22 -6

-4

0

-2

2

4

6

8

-2 -4 -6

4

-8

© 2011 Carnegie Learning

6

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