Download Take Home Quiz 4.1-4.5

Name: ________________________ Class: ___________________ Date: __________
ID: A
Algebra 2 Quiz 4.1-4.5
5. Graph this relation and its inverse of the relation.
Identify the domain and range of the inverse.
x
1. Tell whether the function y = 2 (5) shows growth
or decay. Then graph the function.
x
y
2. Mira bought $300 of Freerange Wireless stock in
January of 1998. The value of the stock is expected
to increase by 7.5% per year. Use a graph to predict
the year the value of Mira’s stock will reach $700.
−1
4
1
2
3
1
5
0
7
1
6. Use inverse operations to write the inverse of
x
f(x) = 4 – 5.
3. A bacteria population starts at 2,032 and decreases
at about 15% per day. Write a function
representing the number of bacteria present each
day. Graph the function. After how many days will
there be fewer than 321 bacteria?
7. Write the exponential equation 2 3 = 8 in
logarithmic form.
8. Write the logarithmic equation log4 16 = 2 in
exponential from.
4. A initial investment of $10,000 grows at 11% per
year. What function represents the value of the
investment after t years?
1
Name: ________________________
ID: A
9. Graph f(x) = 5x − 1 . Then, write and graph the
inverse.
10. Evaluate log 4
1
16
14. Use x = −3, –2, 0, 1, 2 to graph the function
f (x ) = 2 x . Then graph its inverse. Describe the
domain and range of the inverse function.
by using mental math.
15. Simplify the expression log 4 64.
11. Express log 3 6 + log 3 4.5 as a single logarithm.
Simplify, if possible.
16. Evaluate log 9 243 . If necessary, round your answer
to the nearest tenth.
12. Express log 2 64 − log 2 4 as a single logarithm.
Simplify, if possible.
17. Simplify log 7 x 3 − log 7 x .
18. (Extra Credit) Solve log 5 x 10 − log 5 x 6 = 21 .
13. Express log 3 27 −3 as a product. Simplify, if
possible.
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