Compare Rate of Change and Initial Value

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.

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.

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

• y

• m

• x

• b

Compare the initial values of the functions.

• Both functions have the same initial value.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

What is the rate of change for each? Who has the greater rate of change?

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