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Math_8.1_assignment_handout2.doc
College Algebra
Assignment Handout
Assignment 8.1: Interpreting Exponential and Logarithmic Functions
Complete the following problems. Be sure to show all work.
1) Sketch the graph of each of the following exponential functions. Make sure you label at least three points on the graph or include a t-chart with the coordinates.
a.
x
x
f
3
)
(
=
b.
3
2
1
+
=
-
x
y
c.
x
x
g
-
÷
ø
ö
ç
è
æ
=
3
1
)
(
d.
1
4
3
-
÷
ø
ö
ç
è
æ
=
x
y
e.
1
)
(
+
=
-
x
e
x
f
2) Solve each problem.
a. Find the amount accumulated if $10,000 is invested for 5 years at a rate of 5.9% compounded monthly.
b. Find the amount accumulated if $50,000 is invested for 20 years at a rate of 7 % compounded daily.
c. Find the amount accumulated if $10,000 is invested for 5 years at a rate of 5.9% compounded continuously.
3) Evaluate each expression.
a.
81
log
3
b.
9
log
3
1
c.
16
1
log
4
d.
1
log
5
4) Sketch the graph of each of the following logarithmic functions. Make sure you label at least three points on the graph or include a t-chart with the coordinates.
a.
)
2
(
log
)
(
2
-
-
=
x
x
f
b. -
4
)
1
(
log
)
(
3
-
+
=
x
x
f
c.
2
ln
)
(
+
=
x
x
g
5) Use the properties to expand each logarithmic expression as much as possible.
a.
÷
÷
ø
ö
ç
ç
è
æ
z
y
x
2
log
b.
÷
÷
ø
ö
ç
ç
è
æ
2
10
2
log
y
x
c.
3
3
4
2
log
z
y
x
6) Use the properties to condense each logarithmic expression. Your final answer should be a single logarithm with a coefficient of 1.
a.
)
log
(log
log
z
y
x
+
-
b.
z
y
x
log
)
log(
2
1
)
2
log(
+
-
+
c.
[
]
y
z
x
log
log
2
log
3
1
-
+
College Algebra Handout Assignment 8.1, V2.4 Page 1 of 2 11/10/2019
© 2012 Pearson Education
