1. Exponential Functions Section 1.3

2. Exponential Functions f(x) = a x Example: y 1 = 2 x y 2 = 3 x y 3 = 5 x For what values of x is 2 x <3 x <5 x ? For what values of x is 2 x >3 x >5 x ? For what values of x is 2 x =3 x =5 x ?

3. 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 = ka x (Growth if a > 1, decay if 0 < x < 1)

4. 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 = Pe rt

5. Pages 24-25 11. 15. 24.

6. Pages 24-25 (7, 9, 13, 17, 23, 25, 33)

7. Page 19 (66) Pages 24-25 (19-22, 25)