Exponential Growth And Decay Equation Worksheet With Answer Key
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4EXPONENTIAL GROWTH AND DECAY
GRAPHS OF EXPONENTIAL FUNCTIONS
An exponential function is an equation of the form y = ab
(with b ! 0 ).
x
In many cases "a" represents a starting or initial value, "b" represents the multiplier or
growth/decay factor, and "x" represents the time.
Graph y = 3 ! 2
Graph y = 2(0.75)
Example 1
x
Example 2
x
Make a table of values.
Make a table of values using a calculator.
x
–1
0
1
2
3
x
–1
0
1
2
3
y
1.5
3
6
12
24
y
2.7
2
1.5 1.1 0.8
Plot the points and connect them to form a
Plot the points and connect them to form a
smooth curve.
smooth curve.
y = 3! 2
x
y = 2(0.75)
x
y
y
24
21
18
15
5
12
9
6
x
3
-5
5
x
-18-15-12 -9 -6 -3
3 6 9 12 15 18
This is called an increasing exponential curve.
This is called a decreasing exponential curve.
Problems
Make a table of values and draw a graph of each exponential function.
1. y = 4(0.5)
2. y = 2(3)
3. y = 5(1.2)
4. y = 10(
x
x
x
x
2
)
3
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