Intermediate Algebra (11th edition)

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

Concept Check Fill in each blank with the correct response.

1.For the reciprocal function defined by is the only real number not in

the domain.

2.The range of the square root function, given by is.

3.The range of the greatest integer function, is.

4.Concept Check Match each function with its graph from choices A–D.

ƒ 1 x 2 =x,

ƒ 1 x)= 2 x,

ƒ 1 x)=^1 x ,

TEST

CHAPTER 11

View the complete solutions to
all Chapter Test exercises on
the Video Resources on DVD.

Step-by-step test solutions are found on the Chapter Test Prep Videos

available via the Video Resources on DVD, in , or on

(search “LialIntermediateAlg”).

CHAPTER

VIDEOS

A. B.

C. D.

(a)

(b)

(c)

(d)ƒ 1 x 2 = 2 x- 2

ƒ 1 x 2 = 2 x+ 2

ƒ 1 x 2 = 2 x+ 2

ƒ 1 x 2 = 2 x- 2

–2

y

x

(^0) –2
y
(^0) x
2
y
x
0
2
y
x
0
5.Sketch the graph of. Give the domain and range.
6.Find the center and radius of the circle whose equation is.
Sketch the graph.
7.Find the center and radius of the circle whose equation is.
Graph.

10. 11.

Identify the graph of each equation as a parabola, hyperbola, ellipse,or circle.

Solve each system.

y^2 = 20 - x^24 y^2 + 4 x= 9

6 x^2 + 4 y^2 = 12 16 x^2 = 144 + 9 y^2

y

2

=-

B

1 -

x^2

9

16 y^2 - 4 x^2 = 64

ƒ 1 x 2 = 29 - x^24 x^2 + 9 y^2 = 36

x^2 +y^2 + 8 x- 2 y= 8

1 x- 222 + 1 y+ 322 = 16

ƒ 1 x 2 =|x- 3 |+ 4

16. 17. 18.

x^2 - 2 y^2 = 16

x^2 + y^2 = 25

x^2 +y^2 = 8

x- 4 = 3 y

xy= 5

2 x-y= 9

19.Graph the inequality. 20.Graph the system

x^2 + y^2 ...9.

y 6 x^2 - 2 x^2 +^25 y^2 ...^25