Graphing Exponential Equations (Lesson).notebook

Graphing Exponential Equations (Lesson).notebook

UNIT #2: Exponential Functions Graphing Exponential Equations

Graphing Exponential Equations

Learning Goal:

y = abx

I will learn how to graph exponential equations.

initial value

a

multiplier

b

x

time

1/4 > 0.5/0.25 = 2 1/2 1/0.5 = 2 > 1 > 2/1 = 2 2 4/2 = 2 4 > 8/4 = 2 > 8

Demonstration https://www.desmos.com/calculator/3fisjexbvp

increasing decreasing increasing

constant

1

Graphing Exponential Equations (Lesson).notebook

0.11 0.33 1 3 9 27

0.06 0.25 1 4 16 64

4 2 1 0.5 0.25 0.12

1.23 1.11 1 0.9 0.81 0.73

Same y‐intercept.  When x=0, y=1 for all functions. asymptote

Where the function crosses the y‐axis. To find the  y‐intercept, you must set x=0.

A line that a curve approaches more and more  closely, but never touches. 

If the Base > 1, the graph is increasing.   If  0