Linear, Quadratic, and Exponential Situations

The population of penguins in Antarctica that is doubling.

• Exponential

• Linear

• Quadratic

• Neither

A bathtub filling with water as the faucet steadily drips.

• Linear

• Exponential

• Quadratic

• Neither

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.

• Linear

• Quadratic

• Exponential

• None of the above

In the first year of an annual 5K run there were 120 participants. Then, there were 180 and 270 participants in the following 2 years respectively.

• Linear

• Quadratic

• Exponential

• None of the above

Which equation best represents the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground? 

• 4 seconds

• -2 seconds

• -6 seconds

• 9 seconds

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

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

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