Understanding Functions
Rate of Change
Domain
Square Rt, Cube Rt, Abs. Value
Comparing Properties of Functions
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.
2 miles per hour
100
Find the domain of the graph:
-4<=x<=4
100
State the inflection point of the cube root function:
f(x)=-2root(3)(x-4)+1
(4,1)
100
Which square root function has the largest y-intercept?
A
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
Sue hits a ball. Its vertical distance is a function of its horizontal distance. Select the value that is not in the range of the ball.
A. 0 ft.
B. 30 ft.
C. 50 ft.
D. 60 ft.
D
200
Write an equation for the graph seen here:
y=|x+2|-3
200
Which table corresponds to y=-|x-3|+2 ?
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
300
What is the Domain of the graph?
A. -5<x<=11
B. -4<=x<6
C. -5<=x<11
D. -4<x<=6
C
300
Select the statement that is true about the graph of:
y=-2sqrt(x+3)+5
A. minimum at (-3,5)
B. maximum at (-3,5)
C. minimum at (3,5)
D. maximum at (3,5)
B
300
Which is the graph of y=xsqrt(1/2) ?
A
400
On what interval is the value of g(x) , shown below, increasing?
-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
400
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
400
Find the x -intercept of the function:
f(x)=-sqrt(3x)+6
(12,0)
or
x=12
400
Which function has the larger y-value at its inflection point?
A
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.
500
Whole numbers from 1 to 12
or
b = 1, 2, 3, ..., 12
500
Find the x -intercept of the function given by:
g(x)=1/2(x-5)^3-32
(9,0)
or
x=9
500
Write an equation for the graph shown:
y=-2root(3)(x+1)+4