BACK TO TEXT

2.3 Graphs of Exponential Functions: Worked Examples

Example 1.  Characterize the graph of .

SOLUTION.   The graph of the exponential growth function  

Domain:  

Range:  

y-intercept:  

As  

As  

Horizontal asymptote:  Concavity: up

Example 2.  Characterize the graph of .

SOLUTION.   The graph of the exponential growth function  

Domain:  

Range:  

y-intercept:  

As  

As  

Horizontal asymptote:  

Concavity: up

Example 3.  Characterize the graph of .

SOLUTION.   The graph of the exponential growth function  

Domain:  

Range:  

y-intercept:  

As  

As  

Horizontal asymptote:  

Concavity: up

Example 4.  Characterize the graph of .

SOLUTION.   The graph of the exponential growth function  

Domain:  

Range:  

y-intercept:  

As  

As  

Horizontal asymptote:  

Concavity: up

Example 5.  Characterize the graph of .

SOLUTION.   The graph of the exponential decay function  

Domain:  

Range:  

y-intercept:  

As  

As  

Horizontal asymptote:  Concavity: down

Example 6.  Characterize the graph of .

SOLUTION.   The graph of the exponential decay function  

Domain:  

Range:  

y-intercept:  

As  

As  

Horizontal asymptote:  Concavity: up

                                                                                                               BACK TO TEXT