7.1.1 Exponential Functions, Growth, and Decay − Worksheet
Example 1: Tell whether the function shows growth or decay. Then graph. 1. f ( x ) = 32(0.5 x ) 2. f ( x ) = 0.5(1.2 x )
x
3 4
3. f ( x ) =
f x ( ) 0.4
Example 2: 4. An acidophilus culture containing 150 bacteria doubles in population every hour. Predict the number of bacteria after 12 hours. a. Write a function representing the bacteria population for every hour that passes.
b. Graph the function.
c. Use the graph to predict the number of bacteria after 12 hours.
Example 3: 5. A new softball dropped onto a hard surface from a height of 25 inches rebounds to about
2 5
the
height on each successive bounce. a. Write a function representing the rebound height for each bounce.
b. Graph the function.
c. After how many bounces would a new softball rebound less than 1 inch?
98
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