Exponential Decay

1.1e Intro to Functions

Exponential Growth & Decay​

Multiple Select

Which of these functions is a growth function? Check all that apply.

• $$f\left(x\right)=7\left(1.2\right)^x$$

• $$f\left(x\right)=5\left(0.8\right)^x$$

• $$f\left(x\right)=0.5\left(3\right)^x$$

• $$f\left(x\right)=3\left(\frac{4}{3}\right)^x$$

Multiple Choice

Is y = 4(.20)^x growth or decay?

• Growth

• Decay

Multiple Choice

Classify the model as Exponential GROWTH or DECAY. $$A=10(1.01)^3$$  

• Growth  $$y=a\left(1+r\right)^t$$  

• Decay  $$y=a\left(1-r\right)^t$$  

Multiple Choice

Classify the model as Exponential GROWTH or DECAY. $$A=1200(.85)^6$$  

• Growth  $$y=a\left(1+r\right)^t$$  

• Decay  $$y=a\left(1-r\right)^t$$  

Multiple Choice

What is the transformation?

• Vertical Translation up 1
• Vertical Translation down 1
• Horizontal Translation left 1
• Horizontal Translation right 1

Multiple Choice

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Multiple Choice

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Multiple Choice

This is an example of: $$f\left(x\right)=90\ \left(\ \frac{1}{2}\right)^x$$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Multiple Choice

This is an example of: $$f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$$  

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Multiple Choice

How do you know that this was exponential decay? $$f\left(x\right)=\ 25\ \left(\ 0.20\right)^x$$  

• Because the 25 was bigger than one

• Because the 0.20 was bigger than one

• Because the 25 was less than one

• Because the 0.20 was less than one

Multiple Choice

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

Multiple Choice

Which graph best represents

$$y=2^x-4$$  

Multiple Choice

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

Multiple Choice

The graph

$$g\left(x\right)=2^{\left(x-3\right)}$$ is shown, which statement best describes the transformation from the parent graph  $$f\left(x\right)=2^x$$ .

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

Multiple Choice

What transformation occurs from

$$y=2^x$$  to  $$y=-1\cdot2^x$$  

• Reflection over the x-axis

• Reflection over the y-axis

• Vertically shift down 1 units

• Changes from growth to decay

Thank you for your attention!

I am glad we are on this adventure together!​