Understanding Functions
Rate of Change
Domain
100

The height of a football, H, in meters, is a function of time, t, in seconds. What is the height of the football 3 seconds into its flight?

h(3)=6 

or

6 meters

100

The graph represents a dog walker's speed. What is the his speed between the 2nd and 6th minute.

0 miles per hour

100

Find the domain of the graph:


-4<=x<=4

200

How many relative maximum do you see?

3

200

Find the slope of the line that passes through the points  (-3,-32) and  (3,4) 

6

200

A. the set of real numbers
B. the set of positive real numbers
C. the set of integers
D. the set of positive integers 

B

300

The graph represents the amount of water in Rover's dish as time passes. What does the point  (105,0) represent. 

The amount of time it takes Rover to drink all his water.


300

Find the rate of change of the function on the interval  -3<=x<=6 

4/3

400

On what interval is the value of  g(x) , shown below, decreasing?

-2<=x<=2

400

Find the average rate of the change in temperature, in degrees per hour, on the interval  12<=t<=15 

 -2/3 degrees per hour

or

 -0.67  degrees per hour

500

Find the x and y intercepts for the line given by:

 5y=-4x+60 

x-int: (15, 0)

y-int: (0, 12)

500

An astronaut kicks a rock off the moon. It's height in feet can be modeled as a function of time, in seconds. 

 D(t)=(x-1)^2+2 

What is the speed of the rock, in feet per second, between the 2nd and 5th second?

5 ft. per sec. 

M
e
n
u