10.4 Exponential Functions Practice

The function given is an example of growth or decay?

 $y=2^x$  

• Growth

• Decay

The function given is an example of growth or decay?

 $y=3\cdot\left(\frac{1}{2}\right)^x$  

• Growth

• Decay

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing
• Decreasing

Tags

CCSS.HSF-IF.C.8B

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.
• The predicted decrease in number of elephants in the refuge each year.
• The number of years it will take for the elephant population to stop increasing.
• The initial amount of elephants in the park.

Tags

CCSS.HSF.LE.B.5

Given the exponential function below, what is the starting value?
 $y=2\cdot0.7^x$  

• 2

• 0.7

• x

Tags

CCSS.HSF.LE.B.5

What does this graph represent?

• Exponential Decay

• Exponential Growth

Tags

CCSS.HSF-IF.C.7E

What does the graph represent?

• Exponential Decay

• Exponential Growth

Tags

CCSS.HSF-IF.C.7E

What is the domain and range of the function y=2^x ?

Use the graph to help!

• Domain: all reals

  Range: y>0

• Domain: all reals

  Range: y>1

• Domain: x > -2

  Range: y>0

• Domain: all reals

  Range: y>0

Karen bought a car for $24,000. The value of the car depreciates by about 13% each year. Which function below can be used to find the VALUE of her car? 

•  $y=24000\cdot0.13^x$  

•  $y=24000\cdot87^x$  

•  $y=24000\cdot13^x$  

•  $y=24000\cdot0.87^x$  

Tags

CCSS.HSF.LE.A.2

Write an equation that models the following situation:

The current student count at John Jay is 6500, it is expected to grow at a rate of 14% next year.

• y= 6500(1.14)^x

• y= 6500(0.86)^x

• y= 6500(14)^x

• y= 14(6500)^x

Tags

CCSS.HSF.LE.A.2