Exponential
Functions
Þ The ______, ",
is a _________ and
the __________, $,
is the
________________
______________.
Þ Where " > 0
and " ≠ 1
!
!(#) = & ∙ (
Graphing Exponential Functions
Step 1: Identify the base
Step 2: Create a table of values
Step 3: Graph the points from the table
Step 1: Identify the base
Example 2:
+(-) = 41(0.7)!
Step 1: Identify the base
Step 2: Create a table of values
D
-1
0
1
2
3
G(D)
Step 3: Graph the points from the
table
Step 2: Create a table of values
D
-1
0
1
2
3
G(D)
Step 3: Graph the points from the
table
Example 1:
+ (- ) = 3.5!
Exponential
Functions
Þ The base, !, is
a constant and
the exponent, #,
is the
independent
variable.
Þ Where ! > 0
and ! ≠ 1
!
!(#) = & ∙ (
Graphing Exponential Functions
Step 1: Identify the base
Step 2: Create a table of values
Step 3: Graph the points from the table
Example 1:
+ (- ) = 3.5!
Step 1: Identify the base
> = 3.5
Step 2: Create a table of values
E -1 0
1
2
3
H(E) 0.3 1
3.5 12.3 42.9
Step 3: Graph the points from the
table
Example 2:
+(-) = 41(0.7)!
Step 1: Identify the base
> = 0.7
Step 2: Create a table of values
E -1
0
1
2
3
H(E) 58.6 41 28.7 20.1 14.1
Step 3: Graph the points from the
table
⑧
,
Ñ •
•