Comparing Linear, Exponential, and Quadratic Functions

Do the points appear to represent a linear, exponential, or quadratic function?

• Linear

• Exponential

• Quadratic

Does the table of values represent a linear, exponential, or quadratic function?

• Linear

• Exponential

• Quadratic

Does the table of values represent a linear, exponential, or quadratic function?

• Linear

• Exponential

• Quadratic

Does the table of values represent a linear, exponential, or quadratic function?

• Linear

• Exponential

• Quadratic

Which statement is true about the graphs of exponential functions?

• The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions.

What is the difference between a quadratic function and an exponential function in terms of reaching 0?

• An exponential function can never equal 0, while a quadratic function can equal 0.

• Both quadratic and exponential functions can never equal 0.

• Both quadratic and exponential functions can equal 0.

• A quadratic function can never equal 0, while an exponential function can equal 0.

True or False: All increasing exponential functions eventually exceed all increasing linear functions.

• True

• False

Two functions are shown below. For what positive minimum value of x will f(x) exceed g(x)? f(x) = x² - 5x + 6 g(x) = 2x + 8

• x = 3

• x = 5

• x = 7

• x = 8

How long will it take the virus with an exponential model to overtake the virus with a linear model in number of infections? Round to the nearest week.

• About 4 weeks

• About 5 weeks

• About 6 weeks

• About 7 weeks

Two functions are shown below.

For what positive minimum value of x will f(x) exceed g(x)?

f(x) = x² - 5x + 6

g(x) = 2x + 8

• x = 3

• x = 5

• x = 7

• x = 8