Solution Manual for College Algebra 7th Edition by Blitzer

Solution Manual for College Algebra 7th Edition by Blitzer


.




Chapter 2
Functions and Graphs
– g,1 g,and g,1 g,exclusive) g,that g,give g,more g,than g,one
Section 2.1
value g,for g,y g,(for g,example, g,if g,x g,= g,0, g,then
g,


Check Point Exercises
=± g, 1 g,− g,02 g , = g,±1 g,), g,the g,equation g,does g,not
The g,domain g,is g,the g,set g,of g,all g,first g,components: g, define g,y g,as g,a g,function g,of g,x.
{0, g,10, g,20, g,30, g,42}. g,The g,range g,is g,the g,set g,of
g,


all g,second
g,


components: g,{9.1, g,6.7, g,10.7, g,13.2, g,21.7}.

a. The g,relation g,is g,not g,a g,function g,since g,the
g, two g,ordered g,pairs g,(5, g,6) g,and g,(5, g,8)
g, have g,the g,same g,first g,component g,but
different g,second g,components.
g,




b. The g,relation g,is g,a g,function g,since g,no g,two
ordered g,pairs g,have g,the g,same g,first
g,


g, component
and g,different g,second g,components.

a.2 g,x g,+ g,y g,= g,6

=g,6 g,− g,2x

For g,each g,value g,of g,x, g,there g,is g,one g,and
g, only g,one g,value g,for g,y, g,so g,the g,equation
defines g,y g,as g,a g,function g,of g,x.
g,




x2 g , + g,y2 g , = g,1

y g,2 g , = g,1 g,−
x2
g, g , y g,=±
g , 1 g,− g , x2

Since g,there g,are g,values g,of g,x g,(all g,values
g, between

, f g,(−x) g,=g,(−x)2 g , − g , 2(− g,x) g,+ g,7
4. a. f g,(−5) g,= g,(−5) 2 g , − g, 2(−5) g,+ g,7
x2 g , − g,(−2x) g,+g,7
25 g,− g,(−10) g,+ g,7
x2 g , + g,2x g,+ g,7
42

f g,( g,x g,+ g,4) g,= g,(x g,+ g,4)2 g , − g,2( g,x g,+ g,4) g,+ g,7 5. x f ( x ) = 2x ( x, y )
-2 –4 (−2, −4)
x2 + g,8x g,+ g,16 g,− g,2 g,x g,− g,8 g,+g,7
g ,
-1 –2 (−1, −2)
x2 g , + g,6x g,+ g,15 x0 g ( x0) = 2x − 3 (0, 0) ( x, y )
-21 g (−2) =2 2(−2) − 3 = −7(1, 2 ) (−2, −7 )
-12 g (−1) =4 2(−1) − 3 = −5(2, 4) (−1, −5)
0 g (0 ) = 2(0) − 3 = −3 (0, −3)
1 g (1) = 2(1) − 3 = −1 (1, −1)
2 g (2) = 2(2) − 3 = 1 (2,1)




. 202 202

,The g,graph g,of g,g g,is g,the g,graph g,of g,f g , shifted g,down
3 g,units.
g,

, . 203 203