Compare Functions Algebra

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.

Compare the rates of change.

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

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

• Both items have the same rate of change.

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.

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.

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

• y

• m

• x

• b

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

What has the GREATER rate of change. y = 5x +15 OR the graph

• y = 5x + 15

• 

Is this function linear or nonlinear?

• Linear

• Nonlinear