Increasing or Decreasing Functions

• Function
• Not a Function

Determine whether the following functions are increasing or decreasing.

• The function in item I is increasing, and the function in item II is decreasing.

• Both functions are increasing.

• The function in item I is decreasing, and the function in item II is increasing.

• Both functions are decreasing.

Find the rate of change of the line that passes through points (0, 2) and (2, 6).

• 2

• -2

Compare the rates of change.

• The rate of change of item I is greater than the rate of change of item II.

• The rate of change of item I is equal to the rate of change of item II.

• The rate of change of item II is greater than the rate of change of item I.

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

Rate of change is also known as ...

• initial value

• slope

• algebra

• y-intercept

Which linear function has the greatest slope?

• A

• B

• C

• D

The ratio of the change in y to the change of x represents ____.

(Select all that apply.)

• functions

• rate of change

• slope

• initial value

Compare the initial values and rate of change of both functions.

• Both functions have the same initial value and rate of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values differ.

• The initial values are the same, but the rates of change differ.

Which of the following statements correctly describes the item shown above?

• The items have different rates of change, and item I is steeper.

• The items have different rates of change, but have the same steepness.

• The items have different rates of change, and item II is steeper.

• The items have the same rate of change.