Exploring Exponential Models

Exploring Exponential Models

2/18-2/19

A2.F.LE.A1

A2.F.LE.B.3

Multiple Select

What type of functions will we discuss?

• quadratic

• square root

• cubic

• exponential

Multiple Choice

g(x) = 2^x-2

^{Find g(5)}

• 32

• 30

• 8

• 6

Multiple Choice

 $f\left(x\right)=4^{-x}$  Evaluate  $f\left(3\right)$  .

•  $64$  

•  $\frac{1}{64}$  

•  $-64$  

•  $-\frac{1}{64}$  

Multiple Choice

Evaluate  $f\left(x\right)\ =\ e^{3x}$  

 $f\left(2\right)$  

•  $e^6$  

•  $e^{-6}$  

•  $e^9$  

• None of the Above

Multiple Choice

as the value of x increases, the value of y decreases.

• Exponential Function

• Exponential Growth

• Exponential Decay

• Asymptote

Multiple Choice

as the value of x increases, the value of y increases.

• Exponential Function

• Exponential Growth

• Exponential Decay

• Asymptote

Multiple Choice

Which of the following equations represent exponential decay?

• $y=6\left(\frac{4}{3}\right)^x$

• $y=8\left(\frac{3}{9}\right)^x$

•  $y=5\left(1.33\right)^x$ 

•  $y=3\left(-3\right)^x$ 

Multiple Choice

Which of the following equations represent exponential growth?

• $y=3\left(6\right)^x$

• $y=2\left(\frac{1}{2}\right)^x$

• $y=3\left(.75\right)^x$

• $y=4\left(-6\right)^x$

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

Multiple Choice

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Multiple Choice

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Multiple Choice

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $23,219.72

• $136.72

• $51,710.94

• $16,710.94

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x