Linear Quadratic and Exponential Functions

• Linear

• Quadratic

• Exponential

• Linear

• Quadratic

• Exponential

• Linear

• Quadratic

• Exponential

Linear Growth

• Linear Growth

• Linear Decay

• Quadratic Local Min

• Exponential Growth

• Exponential Decay

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

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

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

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

• Linear Growth

• Quadratic Local Max

• Quadratic Local Min

• Exponential Growth

• Exponential Decay