Comparing Functions

Comparing Functions

Constant Rate of Change & Initial Values

Multiple Select

Constant rate of change is the same thing as...

• slope

• y-intercept

Multiple Select

Which of the key words mean constant rate of change? Select all that apply.

• begin

• per

• each

• start

Multiple Choice

Initial value is the same thing as....

• slope

• y-intercept

Multiple Select

Which of the key words mean initial value? Select all that apply.

• begin

• per

• each

• start

Multiple Choice

Two linear functions are shown below. Which function has the greater rate of change?

• Function A

• Function B

Multiple Choice

Two linear functions are shown below. Which function has the greater initial value?

• Function A

• Function B

Multiple Choice

Two linear functions are shown below. Which function has the greater rate of change?

• Function A

• Function B

Multiple Choice

The function y=4x+3 describes Player A's scores in a game of trivia, where x is the number of questions answered correctly and y is the score. The function represented in the table shows Player B's scores. Who earns more points per question?

• Player A

• Player B

Open Ended

Two athletes are training over a two-week period to increase the number of push-ups each can do. Athlete A can do 16 pushups to start, and increases his total by 2 each day. Athlete B's progress is charted in the table. Compare the initial values.

Open Ended

Two athletes are training over a two-week period to increase the number of push-ups each can do. Athlete A can do 16 pushups to start, and increases his total by 2 each day. Athlete B's progress is charted in the table. Which athlete increases their push-ups at a greater rate? Explain.

Open Ended

The students in the After-School Club ate 12 grapes per minute. The table shows the number of carrots remaining after different amounts of time. Which snack did the students eat at a faster rate? Explain.

Multiple Choice

Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. Who climbs at a faster rate?

• Connor

• Pilar

Multiple Choice

Connor and Pilar are in a rock-climbing club. They are climbing down a canyon wall. Connor starts from a cliff that is 200 feet above the canyon floor and climbs down at an average speed of 10 feet per minute. Pilar climbs down the canyon wall as shown in the table. Compare the initial values. Who starts higher on the canyon wall?

• Connor

• Pilar