MAT 205 Fall 2021LRA 12
4. Compare the functions f(x) = 9×3 and g(x) = 8x.
х
F(x) = 9×3
-1
-9
g(x) = 8
0.125
name
date
0
1
2
3
1. Find the value of. Round your answer to the nearest thousandth.
b. log 369
a. In v7
4
Circle the correct answer in the following sentence.
For x 2 2, the table suggests that f(x) is [always or sometimes or never) less than g(x).
c. 2log54
d. 108
2. The table of ordered pairs (x, y) gives an exponential function. Write an equation for the
function.
5. A biologist has a 5210-gram sample of a radioactive substance. Find the equation for the
exponential model then find the mass of the sample after four hours if it decreases
according to a continuous exponential decay model, at a relative rate of 7% per hour.
х
-1
Y
2/5
2
10
Do not round any intermediate computations, and round your answer to the nearest
tenth.
0
1
2
50
A = Aoert
3. Give the domain and range of the exponential graph.
f(x)
Extra Credit
How much should be invested now at an interest rate of 2.5% per year, compounded
continuously, to have $7,000 in 10 years?
(0.2)
Do not round any intermediate computations, and round your answer to the nearest
cent.
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