Compare Linear, Quadratic and Exponential Functions

What function model best represents the data in the table?

• linear

• exponential

• quadratic

What function best models the data in the table?

• linear

• exponential

• quadratic

Which equation best fits the data in the table?

• y = 15940x - 2423.6

• y = 267.71x² -3494.46 + 16500

• y = 16500(0.80)^x

Put these functions in order from least to greatest based on their Y-INTERCEPT.

• B C A

• B A C

• C A B

• C B A

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

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

As x increases beyond 25, which function will have the largest value?

• f(x) = 1.5^x

• g(x) = 1.5x + 3

• h(x) = 1.5x²

• k(x) = 1.5x³ + 1.5x²

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

• True

• False

Pick a function that best models the following situation: A speed of a rollercoaster from start to finish. 

• Exponential

• Linear

• Quadratic

• Neither