Download Pre-Calculus

Pre-Calculus: Sections 3.1-3.3
Name______________________________ Pd___
NO CALCULATORS FOR THE FRONT
1. Write the equation for the graph
2. Write the equation for the given table of values
X
-2
-1
0
1
2
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










Y
2/3
4
24
144
864



3. Identify whether the given function is an exponential function. If it is exponential, state the initial value and
base. Also state whether the function is growth or decay. If it is not exponential, state why it is not.
a. 5 – 3x2
b. 7(1.2-5x)
c. 81e2x
d. 0.8-3x
4. Using the properties of logs, give the value of the following.
1
a. ln1 =
b. log 4 3

16
c. 3log3 52 
d. log1017 =
5. Describe how to transform the graph of an exponential function and sketch the graph of g(x).
f(x) = 3x
g(x) = 2(3x-2) + 3
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






















YOU MAY USE A CALCULATOR, ROUND ANSWERS TO THREE DECIMAL PLACES
6. Solve the following equations.
a. 10x = 523,768
b. lnx = -1.32
7. Fruit flies are placed in a half-pint milk bottle with a banana (for food) and yeast plants (for food and to
provide a stimulus to lay eggs). The fruit fly population after t days is given by
230
P (t ) 
1  56.5e 0.37 t
a. What is the initial population of fruit flies?
b. How long does it take until there are 100 fruit flies?
c. What is the maximum number of fruit flies the bottle can hold?
8. The Richter scale is one way of converting seismographic readings into numbers that provide an easy
reference for measuring the magnitude M of an earthquake. All earthquakes are compared to a zero-level
earthquake whose seismographic reading measures 0.001 millimeter at a distance of 100 kilometers from the
epicenter. An earthquake whose seismographic reading measures x millimeters has a magnitude M(x) given by
x
M (t )  log ,
x0
–3
where x0 = 10 is the reading of a zero-level earthquake the same distance from its epicenter.
a. Determine the magnitude of the 1906 San Francisco earthquake which had a seismographic reading of 7943
millimeters 100 kilometers from the epicenter.
b. Determine the magnitude of the 1985 Mexico City earthquake which had a seismographic reading of
125,892 millimeters 100 kilometers from the epicenter.