Intermediate Algebra (11th edition)

1.Which is the graph of The lowest point on its graph has coordinates

,.

2.Which is the graph of Give the domain and range.

3.Which is the graph of Give the domain and range.

4.Which is the graph of Give the domain and range.

5.Which is not the graph of a function? Why?

6.Which is the graph of The lines with equations and are called

its.

Concept Check Without actually plotting points, match each function defined by the absolute

value expression with its graph.

7. A. B.

8.

9. C. D.

10.

Graph each function. Give the domain and range. See Examples 1–3.

14.ƒ 1 x 2 = 15.ƒ 1 x 2 = 2 x- 2 16.ƒ 1 x 2 = 2 x+ 5

1

x

- 1

ƒ 1 x 2 =

1

x

ƒ 1 x 2 =|x+1| ƒ 1 x 2 =|x-1| + 1

ƒ 1 x 2 =|x+2|- 2

ƒ 1 x 2 =|x-2|- 2

ƒ 1 x 2 =|x+2|+ 2

ƒ 1 x 2 =|x-2|+ 2

ƒ 1 x 2 =x^1? x= 0 y= 0

ƒ 1 x)= 2 x?

ƒ 1 x 2 =x?

ƒ 1 x 2 =x^2?

1 2

ƒ 1 x 2 =|x|?

640 CHAPTER 11 Nonlinear Functions, Conic Sections, and Nonlinear Systems

Complete solution available
on the Video Resources on DVD

11.1 EXERCISES

Concept Check For Exercises 1–6, refer to the basic graphs in A– F.

A. B. C.

D. E. F.

123

1

2

3

0 x

y

4

2

–2

0 x

y

(^014)
x
2
1
y
(^012)
x
4
y
12
2
0 x
y
1
1
0 x
y
x
y
2
0
–2
x
y
0 2
2
x
y
–2
2
0 x
y
–2
–2^0