Intermediate Algebra (11th edition)

11.1

squaring function
absolute value function
reciprocal function
asymptotes
square root function
greatest integer function
step function

11.2

conic section

circle

center (of circle)

radius

center-radius form

ellipse

foci (singular: focus)

center (of ellipse)

11.3

hyperbola

transverse axis

asymptotes of a

hyperbola

fundamental rectangle

generalized square root

function

11.4

nonlinear equation

nonlinear system of

equations

11.5

second-degree inequality

system of inequalities

KEY TERMS

SUMMARY

CHAPTER 11

x greatest integer less than or equal to x

NEW SYMBOLS

1. Conic sectionsare
   A.graphs of first-degree equations
   B.the result of two or more
   intersecting planes
   C.graphs of first-degree
   inequalities
   D.figures that result from the
   intersection of an infinite cone
   with a plane.

2.A circleis the set of all points in a
plane
A.such that the absolute value of
the difference of the distances
from two fixed points is constant
B.that lie a fixed distance from a
fixed point
C.the sum of whose distances from
two fixed points is constant
D.that make up the graph of any
second-degree equation.

3.An ellipseis the set of all points in a

plane

A.such that the absolute value of

the difference of the distances

from two fixed points is constant

B.that lie a fixed distance from a

fixed point

C.the sum of whose distances from

two fixed points is constant

D.that make up the graph of any

second-degree equation.

4.A hyperbolais the set of all points

in a plane

A.such that the absolute value of

the difference of the distances

from two fixed points is constant

B.that lie a fixed distance from a

fixed point

C.the sum of whose distances from

two fixed points is constant

D.that make up the graph of any

second-degree equation.

5.A nonlinear equationis an equation

A.in which some terms have more

than one variable or a variable of

degree 2 or greater

B.in which the terms have only one

variable

C.of degree 1

D.of a linear function.

6.A nonlinear system of equationsis

a system

A.with at least one linear equation

B.with two or more inequalities

C.with at least one nonlinear

equation

D.with at least two linear equations.

TEST YOUR WORD POWER

See how well you have learned the vocabulary in this chapter.

ANSWERS
1.D; Example:Parabolas, circles, ellipses, and hyperbolas are conic sections. 2.B; Example:See the graph of inFIGURE 10of

Section 11.2. 3.C; Example:See the graph of in FIGURE 16of Section 11.2. 4.A; Example:See the graph of

in FIGURE 21of Section 11.3. 5.A; Examples: 6.C; Example:
2 x+y= 1

y=x^2 + 8 x+16,xy=5, 2 x^2 - y^2 = 6 x^2 +y^2 = 2

x^2

16

y^2

25

= 1

x^2

49

+

y^2

36

= 1

x^2 +y^2 = 9

CHAPTER 11 Summary 669