Writing and interpreting functions

Find the Rate of Change

• Undefined

• 3

• 1/3

• Zero

Find the rate of change for the linear function.

What is the rate of change of the amount earned with respect to hours worked for this function?

Find the rate of change.

• $0.75 / customer

• $1.33/customer

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet.

What is the average rate of change?

What is a point-slope equation for the climber?

• 200 ; y - 700 = 200(x - 6)

• 75 ; y - 6 = 75(x - 700)

• 300 ; y - 700 = 300(x - 6)

• 75 ; y - 700 = 75(x - 6)

Which of the following are ways to find the rate of change?

• Change in y over change in x.

• Rise over run.

• Subtract y coordinates over subtract x coordinates.

• All of the above.

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 4.

• -9.75

• -13

• 9.75

• 13

Find the rate of change of the line that passes through

(-4, 7) and (-6, -4)

• 2/11

• -2/11

• 11/2

• -11/2

Find the average rate of change for the function  $f\left(x\right)=\frac{2}{5}\left|x-5\right|+2$   over the interval  $0\le x\le3$  .

• 2/5

• -2/5

• 5/2

• -5/2

A rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rocket's rate of change in miles per second? HInt: You have to change 2.5 minutes into seconds.

• .03 mi/s
• 30 mi/s
• 2 mi/s
• 30 mi/s