Exponential Functions Section 1.3. Exponential Functions f(x) = a x Example: y 1 = 2 x y 2 = 3 x y 3...
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Transcript of Exponential Functions Section 1.3. Exponential Functions f(x) = a x Example: y 1 = 2 x y 2 = 3 x y 3...
Exponential Functions
Section 1.3
Exponential Functions
f(x) = ax
Example:
y1 = 2x
y2 = 3x
y3 = 5x
For what values of x is 2x<3x<5x?
For what values of x is 2x>3x>5x?
For what values of x is 2x=3x=5x?
Important Concepts• Exponent rules• Half-life: the amount of time it takes for half
of a radioactive substance to change from its original state to a nonradioactive state by emitting energy in the form of radiation
• Exponential growth and decay
y = kax
(Growth if a > 1, decay if 0 < x < 1)
Important Concepts• e: the number that the function given below
approaches as x approaches infinity
• e is commonly used with models of exponential growth or decay
• Example: Interest compounded continuously
y = Pert
f (x) 11
x
x
Pages 24-25
11.
15.
24.
Pages 24-25(7, 9, 13, 17, 23, 25, 33)
Page 19 (66)Pages 24-25(19-22, 25)