Determine whether each function is a onetoone function.
7.
8.
9.
10.
11.
12.
In Exercises 13 and 14, for each function, find the domain and range of both
and
13.
14.
In Exercises 15 and 16, find
and graph
and
on the same axes.
f

1
1
x
2
f
1
x
2
f

1
1
x
2
x
y
4
{
1
5, 3
2
,
1
6, 2
2
,
1

4,

3
2
,
1

1, 8
2
}
f

1
1
x
2
.
f
1
x
2
y
=
x
2

9
y
=
1
x
+
8
,
x
Ú
8
e1
0,

2
2
,
1
6, 1
2
,
1
3,

2
2
,
a
1
2
, 4
bf
{
1
6, 2
2
,
1
4, 0
2
,
1

5, 7
2
,
1
3, 8
2
}
x
y
x
y
15.
16.
17. Yards to Feet
The function
converts yards,
x
,
into inches. Find the inverse function that converts inches
into yards. In the inverse function, what do
x
and
represent?
18. Gallons to Quarts
The function
converts gallons,
x
, into quarts. Find the inverse function that converts quarts
into gallons. In the inverse function, what do
x
and
represent?
[13.2]
Graph the following functions.
19.
20.
y
=
a
1
2
b
x
y
=
2
x
f

1
1
x
2
f
1
x
2
=
4
x
f

1
1
x
2
f
1
x
2
=
36
x
y
=
f
1
x
2
=
1
3
x

1
y
=
f
1
x
2
=
4
x

2
21. Compound Interest
Jim Marino invested $1500 in a savings
account that earns 4% interest compounded quarterly. Use
the compound interest formula
to deter
mine the amount in Jim’s account after 5 years.
A
=
p
a
1
+
r
n
b
nt
[13.3]
Write each equation in logarithmic form.
22.
23.
24.
Write each equation in exponential form.
25.
26.
27.
Write each equation in exponential form and find the missing value.
28.
29.
30.
Graph the following functions.
31.
32.
y
=
log
1
>
2
x
y
=
log
3
x

3
=
log
1
>
5
x
4
=
log
a
81
3
=
log
4
x
log
6
1
36
=
2
log
1
>
4
1
16
=
2
log
2
32
=
5
5

3
=
1
125
81
1
>
4
=
3
8
2
=
64
Chapter 13 Review Exercises
833
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