Algebra 2/Trig I jUnit 3 - Quiz ~e iew
Name: ~~------------------Date: ~ Block:
Quiz Review
Quiz Topics:1. Determine Domain/Range of Graphs
2. Operations with Functions (+,-,*,composition)3. Determine Inverses
Graph Inverses (give: domain, range, inverse given function)
Determine the ~o noin and range for each graph.and if the relat 01 IS inverse is a function.~------~-m----~
Then decide if the relation is a function,
\1i,i.f--'
Itf ,...
"''.D: (-0Cl ) \'ju l\ ,co)R: C-\ f 0.0 ')
Function'V/NInverse Function? Y,(!)
D: [- 5 'I=> -nR: [-y 'f-t ~
Functiot1? ~ AM)Inverse Funh on? Y ~
I
D:(- (.>Cl />') u 1...3 Ica')R: (-~.) '''>0 u ,00 '>
~ Function?6J]/NInverse Function!(YJ/'N
Perform the ind~c<!ltedoperations using the following functions:f(x)=x2+2x~1 g(x)=x2-2 t(x) = -IX
a) (g-f)(x) z: 0 l x )- ~ ex 'J"-
xd._~-(x~ aX-I)/- J. -~ - ;: x ;- \
-J.x+1
d) f(l)
I O-+- d. ( IJ - II-t-J.-I
d.-
b) (got)(x) -=<j(t-ex-0 c) (f*g)(2)::: .r ld)Y ~ Ld.- ')<jefX) (x~;-ax-\)\2\-;}-~d- Jrx ~- d.. (.;) d.-t-~(~),_\ Jl~ -d-)
x-a. -, La)I~
e) (g+t)(4) ~~ly)-tt C0f) (f+g)(2) = ~~l~');-Sl~')xJ-J + G (x:J.-+ (j..r.-l),. \;(d-_J-.)
~ ~ a ~t..J - d- -t \ l-\ ( ~;}. r d.l?- ') - \)4-(.:;) - d- )
)<..0 -a. rd.-' ..., 1" d--
i~ ~
Determine if t ~e functions are inverses using compositions. (Hint: If they are you should getwhat?) ** Don't forget to check both ways!!!x=-- x
a) f(x)=-3x+6 one g(x) = -(1/3)x+2-r: l'21V ')) -~ -xfC~xt-a)- k
-3t~x +~)+\P" X
"~ x ::~;-~ - x?
"-x/x-
Graph the func ion and it's inverse. Then find the domain and range of the function."the inverse and if the inverse is a function.
lf-1(x)= X T \
<j ( t='( 1\ )") -=- 'x
3 (- 6 xr ~)=- k_ J (:-2> x +-v) - ~-:-x
..3X. 7 d ::t------ci ::. /"
,X-:::-xJ
c2.510 3
f(x):D: r I ex:»
R: CO I""")' tFunction@1 N I
b) f(x)=(1/3)x-3 and g(x) = 3x+3+('2) LA )) -:.. X
+ (3xt-1>"j = '(,~C~x~j)-3 -:..X
XT\~~::'Y
X-a ;L x3lJLX\)::- x
5 C~x-?:»~ x'2 •. X
"3 (5 x -j)~<->-" .0, ') -- x-x- I -ro -
x- (s; 7 x
l/l
Find
x f-1(x)1 II
1/
.i- _r\-L-
.c-v
f-l(x):
D: rC' . ( 'J )
R: r I ,<:a)'-
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