Answer Key for the review problems

1. Unit
6
Review
Answers
1.
Decay
2.
Growth
3.
Growth
4.
Decay
5.
Function
Inverse
Domain
–
All
Reals
Domain
–
x
>
0
Range
:
y
>0
Range
–
All
Reals
Yes
is
a
function
6.
Function
Inverse
Domain:
All
Reals
Domain:
x
>
-­‐2
Range:
y
>
-­‐2
Range:
All
Reals
Yes
is
a
function
7.
Function
Inverse
Domain:
All
Reals
Domain:
x
>
-­‐2
Range:
y
>
-­‐2
Range:
All
Reals
Yes
is
a
function
8.
up
12
9.
Right
8
10.
Left
2,
up
4
11.
log! 81 = 4
12.
log!
!
2 = −1
13.
log! 1 = 0
14.
10!
= 100
15.
8!!
=
!
!"
16.
27
!!
! =
!
!
17.
0.9176
18.
1
19.
1.5937
20.
-­‐3
21.
-­‐1/2
22.
3/2
23.
2.5646
24.
1.5279
25.
0.4909
26.
-­‐3.6837
27.
10.8817
28.
0.1521
29.
Up
2,
g(x)
=
2x
-­‐6
30.
vertical
shrink
of
½,
down
3
𝑔 𝑥 = 2(
!
!
)!
− 2
31.
1992
–
2,
521,135.366
people
2006
–
2979362.449
people
32.
12.01
months
33.
32.17
years
34.
$20550.63
35.
$81,
920.00
(note,
it
doubles
every
year,
not
every
3
years)
x
y
-­‐2
16
-­‐1
8
0
4
1
2
2
1
X
Y
16
-­‐2
8
-­‐1
4
0
2
1
1
2
x
y
-­‐2
-­‐1.5
-­‐1
-­‐1
0
0
1
2
2
6
X
Y
-­‐1.5
-­‐2
-­‐1
-­‐1
0
0
2
1
6
2
x
y
-­‐2
-­‐1.97
-­‐1
-­‐1.875
0
-­‐1.5
1
0
2
6
X
Y
-­‐1.97
-­‐2
-­‐1.875
-­‐1
-­‐1.5
0
0
1
6
2