Kristin Gerton Linear Quadratic or Exponential

A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every machine he sells. Which best describes this function?

• Linear

• Quadratic

• Exponential

• None of the above

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

• Linear

• Quadratic

• Exponential

• None of the above

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

• Linear

• Quadratic

• Exponential

• None of the above

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

• True

• False

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.

Solve the equation 3 * 2^x = 24 and identify the type of function it represents.

• Linear function

• Quadratic function

• Exponential function

• 5 * 2^x = 24

Solve the equation x^2 - 4x + 4 = 0 and identify the type of function it represents.

• Linear function

• Exponential function

• Quadratic function

• Cubic function

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