3/18 Exponential Functions and Graphs

Does the function  $y=3^x-1$   model exponential growth or decay?

• Growth

• Decay

• Both

• Neither

Does the function  $y=\left(\frac{1}{2}\right)^x+3$  model exponential growth or decay?

• Growth

• Decay

• Both

• Neither

Does the function  $y=\frac{1}{2}\left(2\right)^x-5$  model exponential growth or decay?

• Growth

• Decay

• Neither

• Both

What could the equation of the exponential function in the graph be?

• y = (1/2)^x - 1

• y = (1/2)^x + 1

• y = 2x - 1

• y = 2^x + 1

What could the equation of the exponential function in the graph be?

• y = 2^x + 2

• y = (1/2)^x + 2

• y = 1/2(4)^x + 2

• y = 2^x - 2

This graph appears to be approaching a line on the right-hand side. What does the equation of this line appear to be?

(Remember, y = ___ is a horizontal line, x = ___ is a vertical line)

• y = 2

• x = 2

• x = 3

• y = 3

Would the function modeled by the table be exponential growth or decay?

• Exponential growth

• Exponential decay

• It's not an exponential function

In the exponential function  $y=2\left(3\right)^x+5$  , what is the base/common ratio?

• 1

• 2

• 3

• 5

What could the exponential function  $f\left(x\right)=2000\left(1.04\right)^x$ model?

• The amount of an investment that earns money.

• The population of a city that is losing people.

• The value of a TV that loses value each year.

• The amount of an element in an experiment that is decreasing in value every hour.

In the function $f\left(x\right)=2000\left(1.04\right)^x$ , what is the value of f(10)?

• 2,960.49

• 20,800

• 2,172.13

• 21,500