Writing and interpreting functions

• 8

• -8

• 15

 $f\left(x\right)=-3x+2$  A function is defined by this equation.  What is the average rate of change for the function on the interval from x = -2 to x= 2 ?

• -12

• -3

• 3

• 12

Rate of change

• The percentage change in value over a defined period of time

• the coordinates of a point such as that "x" is the x-coordinate and "y" is the y-coordinate

• the set of all possible inputs for the function

• a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms

Which rate of change represents the following the graph shown?

• $ 5 per movie
• $10 per movie
• $1 per movie
• $0.20 per movie

Some students collected the data in the table. What does the average rate of change represent?

• The change in the average temperature per day

• The change in average temperature per month

• The high temperature for the sampling period

• The number of months in the sampling period

Find the average rate of change for the function

 $f\left(x\right)=3x^2-4$ between the values of  $x=3$ and $x=5$ .  

Find the average rate of change for the function  $f\left(x\right)=-x^3-2x^2+3x-7$   over the interval  $-5\le x\le-2$  .

• 65/3

• 1/22

• -22

• -3/65

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.

What is the rate of change of the graph?

• 64

• 128

• 32

• 16

A water tower that has a leak in it loses 24.5 kiloliters of water every 7 days.  What is the average change in water volume each day?

• 3.5 kiloliters
• -3.5 kiloliters
• 171.5 kiloliters
• -171.5 kiloliters

Find the rate of change.

• m = 2
• m = -1/2
• m = -2
• m = 1/2