Intermediate Algebra (11th edition)

3.1

ordered pair
components
origin
x-axis
y-axis
rectangular (Cartesian)
coordinate system
plot
coordinate
quadrant
graph of an equation

first-degree equation

linear equation in two

variables

standard form

x-intercept

y-intercept

3.2

rise

run

slope

3.3

slope-intercept form

point-slope form

scatter diagram

3.4

linear inequality in two

variables

boundary line

3.5

dependent variable

independent variable

relation

function

domain

range

3.6

function notation

linear function

constant function

KEY TERMS

1 a, b 2 ordered pair a specific value of x
(read “x-sub-one”)

x 1 Greek letter delta

m slope

≤ function of x(read

“ƒ of x”)

ƒ 1 x 2

NEW SYMBOLS

1.An ordered pairis a pair of
numbers written
A.in numerical order between
brackets
B.between parentheses or brackets
C.between parentheses in which
order is important
D.between parentheses in which
order does not matter.

2.A linear equation in two variables
is an equation that can be written in
the form
A.
B.
C.
D.

3.An interceptis
A.the point where the x-axis and
y-axis intersect
B.a pair of numbers written between
parentheses in which order matters
C.one of the regions determined by
a coordinate system

Ax+By=C.

y=x^2

ax=b

Ax+By 6 C

D.the point where a graph intersects

the x-axis or the y-axis.

4.The slopeof a line is

A.the measure of the run over the

rise of the line

B.the distance between two points

on the line

C.the ratio of the change in yto the

change in xalong the line

D.the horizontal change compared

with the vertical change between

two points on the line.

5.A relationis

A.a set of ordered pairs

B.the ratio of the change in yto the

change in xalong a line

C.the set of all possible values of

the independent variable

D.all the second components of a

set of ordered pairs.

6.A functionis

A.the pair of numbers in an ordered

pair

B.a set of ordered pairs in which

each x-value corresponds to

exactly one y-value

C.a pair of numbers written

between parentheses

D.the set of all ordered pairs that

satisfy an equation.

7.The domainof a function is

A.the set of all possible values of

the dependent variable y

B.a set of ordered pairs

C.the difference between the

x-values

D.the set of all possible values of

the independent variable x.

8.The rangeof a function is

A.the set of all possible values of

the dependent variable y

B.a set of ordered pairs

C.the difference between the

y-values

D.the set of all possible values of

the independent variable x.

TEST YOUR WORD POWER

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

ANSWERS

SUMMARY

CHAPTER 3

1.C; Examples: 2.D; Examples: 3.D; Example:In FIGURE 4(b)of Section 3.1,the
x-intercept is and the y-intercept is. 4.C; Example:The line through and has slope 5.A; Example:
The set defines a relation. 6.B; The relation given in Answer 5 is a function. 7.D; Example:In the function in Answer 5,
the domain is the set of x-values,. 5 2, 4, 6 6 8.A; Example:In the function in Answer 5, the range is the set of y-values,. 5 0, 3, 6 6

51 2, 0 2 , 1 4, 3 2 , 1 6, 6 26

4 - 6

5 - 3 =

• 2
  1 3, 0 2 1 0, 2 2 1 3, 6 2 1 5, 4 2 2 =-1.

1 0, 3 2 , 1 3, 8 2 , 1 4, 0 2 3 x+ 2 y=6,x=y- 7

CHAPTER 3 Summary 199