Exponential Functions Notes
EXPONENTIAL FUNCTION: a function of the form y =a b x (where a 0 , b > 0, b 1 )
a = initial value
b = ratio of change (a factor measuring how much the
function grows or shrinks with each value of x)
Ex. In our warm up, a = $.01
Composition of Functions Notes
EX 1 Consider the following two functions:
a. f ( x) =x 2 - 4
b. g ( x) =3x
1. Find f(5) = (5)2 4 = 25 4 = 21
2. Find f(0) = (0)2 4 = -4
3. Find g(3) = 3(3) = 9
4. Find g(5) = 3(5) = 15
Composite Functions: Suppose f and g a