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)'-

(UnctiO~/ No