3.2 Graphing Exponential Functions Chapter 3: Exponential Functions and Logarithms 3.2 Graphing Exponential Functions

Exponential Functions An exponential function increases or decreases quickly General form: 𝑦=𝑎 𝑐 𝑏𝑥 Increases if c>1 Decreases if 0<c<1

c>1 Near zero for negative x, initial value at x=0, y=2x -3 0.125 -2 0.25 -1 0.5 1 2 4 3 8 16 5 32 Near zero for negative x, initial value at x=0, Increases quickly for positive x

0<c<1 Decreases quickly for negative x, initial value y=(1/2)x -5 32 -4 16 -3 8 -2 4 -1 2 1 0.5 0.25 3 0.125 Decreases quickly for negative x, initial value at x=0, near zero for positive x

c>1, a≠0 Near zero for negative x, initial value at x=0 y=0.5(2x) -3 0.0625 -2 0.125 -1 0.25 0.5 1 2 3 4 8 5 16 Near zero for negative x, initial value at x=0 (read from graph), increases quickly for positive x

What is the rule? (a=1)

What is the rule? (a≠1)