Functions (general)

Choose all of the differences

• Their Domain

• Their Range

• Their End behavior

• Positive x-intercepts

Answer explanation

The correct choice is that y=\frac{1}{2}x is LESS STEEP than y=x because the slope of y=\frac{1}{2}x is smaller than the slope of y=x.

Function A is represented by the equation y = 4x - 2. Function B is represented by the table.

Which of these functions has the greater rate of change?

• Function A. It's rate of change is -2.

• Function A. It's rate of change is 4.

• Function B. It's rate of change is 2.

• Function B. It's rate of change is 6.

A bike rental shop has two plans for a cyclist to choose from.

b. Mr. Diaz wants to rent a bike for 11 hours. Which plan should he choose? How much can he save?

Compare the rates of change. Which statement is true about the growth of trees A, B, and C?

• They have the same rate of change.

• Tree B has the greatest rate of change.

• Tree A has a negative rate of change, while Tree B and C have positive rates of change.

• Tree C was the tallest when it was planted.

• Tree A was the tallest at 2 months.

Which linear function has the GREATEST rate of change?

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Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=8

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Which function has the greater slope?

• The slope of Function A is greater than the slope of Function B.

• The slope of Functions A is less than the slope of Function B.

Brendan and his family are going to rent bicycles while they are on vacation. The costs to rent bicycles from two different companies are shown below. What is the cost to rent bicycles for 8 days from each company?

The Bicycle Company cost can be found using the function y = 15x + 10

The cost for Island Bike Rentals is shown in the table.

Hint: You need to find the rate of change and y-intercept for the table to write the function for Island Bike Rentals.

• The Bicycle Company would cost $120 and Island Bike Rentals would be $160

• The Bicycle Company would cost $130 and Island Bike Rentals would be $160

• The Bicycle Company would cost $120 and Island Bike Rentals would be $80