Evaluating Exponential Functions

Notes!

Review f(x) = 3x + 2 What is f(2) ? f(2) = 3(2) + 2 = 6 + 2 = 8 f(2) = 8


Evaluate the following functions at -1, 0 , 1. {for example f(-1), f(0), f(1) }


1. f(x) = 3^x .


f(-1) = 1/3

f(0) = 1

f(1) = 3


2. f(x) = 3^(x-1)


f(-1) = 1/9

f(0) = 1/3

f(1) = 1


3.f(x) = 3^(x+2)


f(-1) = 3

f(0) = 9

f(1) = 27

More Examples to try!

Example 1:

9/8 * 2^n at n = 5


Answer: 36


Example 2:

5 • (1/2 )^x at x = -2


Answer: 20


Example 3:

3 • 2^n at n = 6


Answer: 192