Comparing Rates of Change in Linear, Quadratic, and Exponential Functions

Which of the following functions best models the relationship shown in the table above?

• f(x) = x⁵

• f(x) = 2(4)^x

• f(x) = x + 2

• f(x) = 6x + 2

What type of function does this table represent?

• Linear Function

• Exponential Function

• Quadratic Function

• None of these

Select the type of function and the reason.

• Quadratic

• Exponential

• common second differences of 3

• common ratio of 3

• common ratio of 1/3

Select the type of function and the reason.

• Quadratic

• Linear

• common second differences of 2

• common second differences of -2

• common first differences of 3

Find the rate of change

• 3

• -3

• 20

• Not a constant slope/Non-Linear

Which function has the GREATEST rate of change?

• 
• 
• 
• 

Slope is another word for:

• Initial Value

• Rate of Change

• Change in Y's

• Y-intercept

How are f(x) and g(x) alike?

• Both functions have the same rate of change.

• Both functions have the same range.

• Both functions have the same initial value.

• Both functions have a positive rate of change.

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change

• A has a greater rate of change than B

• A and B both have negative rates of change

• A has a negative ROC and B has a positive ROC

Rate of change is also known as ...

• initial value

• slope

• algebra

• y-intercept