Name:
Date:
Class:
ID: A
Algebra 2 Study Test Chapter 9
Multiple Choice
Identify the choice that best completes the stdtement or answers the question.
I
.
Which of the following is true about the graphed relation?
_r
123456789r
a.
b.
c.
Numeric
The relation is a function, but its inverse is not a function.
The relation is not a function, but its inverse is a function.
Both the relation and its inverse are functions.
Neither the relation nor its inverse is a function.
Response
[s*'-2ifx<-6
I
2.
Let
flx): .lrr' -2 if - 6 < x
l1t
*z*if x>7
[sr'-3ifx<-5
Letflx)=1rr'-9if-5<x
7. Findl-6).
I Uo\ =
I
J.
4. Findl+5).
t1Z*Z*ifxz4
P L+E) =
Short Answer
4.
Givenfx) =
2x2 +8x
-
4and g(x)
: - 5x+ 6, find (f- d@).
-.\
5.
Givenflx) =4x2 +3x-5 andg(x) =-2x+ 12, find ffS)@).
6. Givenfx)
= x3 and
7. Givenfx) =x*3
in your answer)
g.
Find the inverse
g(x) = 4x+3, furd g(^3)).
andg(x) =xz + 1, writethe composite function S(&x)) and simplifu it(Noparentheses
offlx) =
t+)
Determine whether
it is a function.
ID: A
10. Determine
by composition
whethe r f(x) =
lx + a and g(x) = 5x - 20 areinverses. you must show all
work to get credit and it must be by the composition method.
ifx=5
ll.
12.
if5 <x< 6 forx= -1
if 6 <x
Graph the piecewise function
nO
:
and
x =9.
t_, ifx<4.
l't
if x>4
{trt
ID: A
13.
Graph the piecewise function /i(x)
f-x-a if x<-1
=l
i2x+lifx>-1
14. The price of dance lessons depends upon the number of lessons that you select. If x is the number of
lessons then the fee for the lessons (in dollars) can be found using the piecewise function
(
iaox ifo <x<4
I
I
I
flx): l30x ifa <x<
izs*
t
if
8. The lessonsare increasingby 10%perlessonwith a$5 processingfee foreach
x>8
student. What is the new function for the cost of lessons?