7.1 exponential models honors algebra ii. exponential growth: graph
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7.1 Exponential Models
Honors Algebra II
xy 2Exponential Growth: Graph
xaby Exponential Function: x is a real number
a ≠ 0
b > 0
b ≠ 1
Examples:
x
x
x
xf
y
y
9)(
)7(25.0
)3(2
Exponential Growthxaby b >
1
y-intercept:
Domain:
Range:
Asymptote:
Exponential Decayxaby 0 < b <
1
y-intercept:
Domain:
Range:
Asymptote:
xy 32Graph
b> 1 is growth factor
0 < b < 1 decay factor
b = 1 + r
r is rate of increase or decrease
You invested $1000 in a savings account at the end of 6th grade. The account pays 5% annual interest. How much money will be in the account after six years?
Suppose you invest $1000 in a savings account that pays 5% annual interest. If you make no additional deposits or withdrawals, how many years will it take for the account to grow to at least $1500?
Writing Equations
Example 7: Writing Equations
Page 439# 18 – 20,
25 – 28, 30 – 31
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