\r
Practice for Test #8
l2q lwvo
1. Use the set of points giren to answer each question
{tz, o, {+,ex6, 3), (8, 7)}
a) ls the relation a function?
b)
ls
the relation one to
one? c) Find the inverse
of the function.
2. Use the graph to answer each question
a)
b)
Does
c)
Find the domain and range
the graph represent a function?
Does the graph represent a 1-to-1 function?
d) Graph
e)
of
f (x)
f-'(*)
Find:
r(*)
Domain:
f-'(*)
Domain:
Range:
Range:
For #3-5 do the following:
a) Find the inverse b) Graph both
z.
functions c) Use the graphs to find the domain and range of both functions
f(x)= -2x+4 c. g(x)=.fl5+l
s. m(x) =2xz , x)
a.
0
h(x)=!r(-*)'*o
ln Exercises 7-10, determine whether the functions are inverses by composition.
t. f(x)=6x+l;S(x) = 6x-l
e.
s.
f(*)=trs(r)= 5-2x
f(,)
=
T,g(,)
=
\_v
to. f (x)
=
4x2
+
3;
g(x) =
8x3
+
6
-+
lnExercisesllandL2,tind(f+gxx)anU(f-gxr)andstatethedomainofeach.Thenevaluatef+gandf-gfor the given value of x.
tt. f(*) = -24 x;s(r) = tsl,/i;x
tn Exercises 12 and 13,
find (fgx*)
= 8t
"", (i),,
rz.
f(x) = 9x +2x2;g(x) = x2 -3x
and state the domain of each. Then evatuate
fg
and
+ 7;x =
I
1
ro, tt," given vatue
ol x,
13. f(*) =
*';s(*) = ZxG;x = 9
t+.
f(x) =10x3;g(r)=
4ysl3;x=85
Use the functions below to perform the indicated operations. State any domain restrictions.
f(xl= x'+2
15.
f'h
16.
L9. jog
Copyright
I+j
20. f U(xll
@
Big ldeas Learning, LLC
All rights reserved.
L7. h(a)-e(10)
18.
j*g
21. h(j(20))
22.
iffblzoul
Algebra 2
Resources by Chapter
173,