4'2 Exponential Functions

1
4.2 Exponential Functions
have the variable as an exponent, f (x) a
x .
have the domain (-8, 8)
have the range is (0, 8)
have no x-int and y-int (0, 1)
2

• Approximate, 3 decimal places.

21.414
2.665
2e
ep
5.437
23.141
3
Graph out y 2x
y int HA
(0, 1)
y 0
4
Based on y 2x, graph out y 2-x
5
Based on y 2x, graph out y 2 x 5
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Based on y 2x, graph out y 1 2 x
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• Let A A0e-0.35n
• Find A if A0 100 and n 3
• A 100 e -0.353
• A 35

8
If 2x 3 what does 4-x equal?
9
The percent of viewers who respond to a
television commercial of a new product after t
days is found by using the formula R 70
100e-0.2t

• What percent has responded after 20 days?

68
10
The percent of viewers who respond to a
television commercial of a new product after t
days is found by using the formula R 70
100e-0.2t
What is the highest percent of people expected to
respond?
11
R 70 100e-0.2t
What is the highest percent of people expected to
respond?
69.995
12
Homework

• Pg 319
• 1 43 odd