Exponential Functions

Identify the y-intercept (initial value) of this function:  $f\left(x\right)=14\left(\frac{1}{2}\right)^x$  

• 14

• 1/2

• x

• 7

Identify the common ratio of this function:  $f\left(x\right)=2\left(4\right)^x$  

• 2

• 4

• 8

• x

The following graph represents...

• exponential decay

• exponential growth

• a radical function

• a linear function

The following graph represents...

• exponential decay

• exponential growth

• a radical function

• a linear function

 $f\left(x\right)=3^x-5$  represents...

• exponential growth
  

• exponential decay

• a radical function

• a linear function

A culture of bacteria begins with 5000 cells and dies by 30% each year. Which equation represents this situation?

•  $y=5000\left(0.7\right)^x$  

•  $y=5000\left(0.3\right)^x$  

•  $y=5000\left(1.3\right)^x$  

•  $y=5000\left(0.03\right)^x$  

What is the domain of the graphed function?

• $\left(-\infty,\infty\right)$

• $\left[-\infty,\infty\right]$

• $\left(0,\infty\right)$

• $\left[0,\infty\right)$

What is the range of the graphed function?

• $\left(-\infty,\infty\right)$

• $\left[-\infty,\infty\right]$

• $\left(0,\infty\right)$

• $\left[0,\infty\right)$

Create a function for the pictured table:

• $f\left(x\right)=5\left(2\right)^x$

• $f\left(x\right)=20\left(2\right)^x$

• $f\left(x\right)=5\left(5\right)^x$

• $f\left(x\right)=5x+20$

You put $1 in an incredible bank account that doubles every month. How much would you have after 5 months?

• $5

• $16

• $32

• $10