Precalculus
Name:___________________________ Teacher:_______________
Block:______
1.3TheGraphsofFunctions:Notes,Examples,andPracticeProblems
● Thesetofallpossibleinputs(xvalues)ofafunctioniscalledthedomainofa
function.
● Thesetofallthepossibleoutputs(yvalues)ofafunctioniscalledtherangeofa
function.
IfIhavethefunctionf(x)=x
2
,
Thedomainwouldbeallrealnumbersbecause
anyxvalueinputisacceptable,D:(∞,∞)
Therangewouldbeallnonnegativenumbers
becausetherearenonegativeyvalueoutputs.
Zeroisincludedbecause(0,0)isapointonthe
curve.R:[0,∞).
Statethedomainandrangeinintervalnotation.Thenfindf(0).
(Assumethelinesofthefunctionendattheendofthegraph)
1. 2.
D:_______R:_______f(0)=________ D:_______R:_______f(0)=________
Afunctionfisincreasing
onanintervalif,foranyx
1
andx
2
intheinterval,
x
1
<x
2
impliesf(x
1
)<f(x
2
).
Afunctionfisdecreasing
onanintervalif,foranyx
1
andx
2
intheinterval,
x
1
<x
2
impliesf(x
1
)>f(x
2
).
Afunctionfisconstanton
anintervalif,foranyx
1
and
x
2
intheinterval,
f(x
1
)=f(x
2
).
Johan Mendez
Mr. Parks
8
(- ,- )
(- ,4)
8
8
8
(-5,5)
(-4,4)
3
4
