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© 2012 Pearson Education, Inc.. All rights reserved.
Section 2.4
Exponential Functions
Warm-up: Page 78 #62
How are Exponential & Logarithmic
Functions Graphed and Applied?
How are Exponential & Logarithmic Functions Graphed and Applied?
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How are Exponential & Logarithmic Functions Graphed and Applied?
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Your Turn 1
Solve
Solution: Since the bases must be the same, write 25 as 52 and
125 as 53.
/2 325 125 .x x
2 /2 3 3(5 ) (5 )x x
3 95 5 Multiply exponents. x x
3 9
Now use the property:
If 0, 1, an d , then .x ya a a a
x
x
x
y
2 9
9 / 2.
x
x
How are Exponential & Logarithmic Functions Graphed and Applied?
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Assessment Prompt #1
Page 86 #15, 17, 19
How are Functions Graphed and Applied?
How are Exponential & Logarithmic Functions Graphed and Applied?
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How are Exponential & Logarithmic Functions Graphed and Applied?
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Assessment Prompt #2
Graph
How are Functions Graphed and Applied?
How are Exponential & Logarithmic Functions Graphed and Applied?
5 2xf x e
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How are Exponential & Logarithmic Functions Graphed and Applied?
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Examples
Find the interest earned on $4400 at 3.25% interest compounded
quarterly for 5 years.
Solution: Use the formula for compound interest with P = 4400,
r = 0.0325, m = 4, and t = 5.
The investment plus the interest is $5172.97. The interest
amounts to $5172.97 − $4400 = $772.97.
1tm
rA P
m
5(4)0.0325
4400 14
A
5172.97 Use a calcula tor.
How are Exponential & Logarithmic Functions Graphed and Applied?
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Example #2
Find the amount after 4 years if $800 is invested in an account
earning 3.15% compounded continuously.
Solution: In the formula for continuous compounding,
let P = 800, t = 4 and r = 0.0315 to get
or $907.43.
rtA Pe
0.0315(4)800A e
907.43,
How are Exponential & Logarithmic Functions Graphed and Applied?
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Graphs of Basic Functions
How are Exponential & Logarithmic Functions Graphed and Applied?
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Assessment Prompt #3
How are Functions Graphed and Applied?
Group Check Page 86-87 #37,43,47
How are Exponential & Logarithmic Functions Graphed and Applied?
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HOMEWORK
pages 86-87 #14-32even,38,48
How are Functions Evaluated?How are Functions Graphed and Applied?
How are Exponential & Logarithmic Functions Graphed and Applied?