Exponential Functions

Exponential Functions

Exponential Functions

a function defined by an equation of the form

 $y=ab^x,\ a\ \ne0,\ b>0,\ b\ne1$  

You can use values of x to find ordered pairs that satisfy an exponential function. Then you can use the ordered pairs to graph the function.

Multiple Choice

Graph the function. Find the y-intercept.

 $y=0.3^x$  

• 0.3

• 1

• 0

• all real numbers

Multiple Choice

Graph the function. Find the domain.

 $y=0.3^x$  

• 0.3

• 1

• y>0

• all real numbers

Multiple Choice

Graph the function. Find the range.

 $y=0.3^x$  

• 0.3

• 1

• y>0

• all real numbers

Identify Exponential Behavior

It is sometimes useful to know if a set of data is exponential. One way to tell is to observe the shape of the graph. Another way is to observe the pattern in the set of data.

Multiple Choice

Determine whether the set of data shown below displays exponential behavior. 

• yes

• no

Multiple Choice

Determine whether the set of data shown below displays exponential behavior. 

• yes

• no