Average Rate of Change Quadratic Functions Name ______

Algebra 3-4 Period ______

1. Find the average rate of change
Where x = 1 and x = 2
Where x = 2 and x = 5
Which is greater? / 2. Find the average rate of change

Where x = 0 and x = 1
Where x = 2 and x = 3
Which is greater?
3. Find the average rate of change
Where x = 3 and
x = 5 / 4. Find the average rate of change for x2 + 3x + 2
(Hint: you will need to graph!!)
Where x = 1 to x = 3
5. Find the average rate of change for x2 + 12x + 36
(Hint: you will need to graph!!)

Where x = 0 to x = 4 / 6.The graph off(x) is shown below. Over which of the following intervals is the average rate of change the smallest?
a)
b)
c)
d)
7. Sally went on a bike trip and stopped regularly at half-hour intervals. At each break she recorded her total distance since leaving home.
Stops / Time (h) / Distance (km)
1st / 0.5 / 7
2nd / 1 / 15
3rd / 1.5 / 21
4th / 2 / 24
5th / 2.5 / 28
6th / 3 / 36
a. What was Sally’s average speed, in km/h, during the first half-hour? During the last half hour?
b. Between which 2 consecutive stops did Sally average the lowest speed?
8. John throws a baseball in the air. The initial height is 5 feet and the initial velocity is 30 feet per sec.
a. Write a function that models this.
b. Predict the height at 2 seconds.
c. What is the maximize height of the ball? / 9. An object is launched from the ground level directly upward at 39.2.
a. Write a function that models this.
b. Predict the height at 4 seconds.
c. What is the maximize height of the ball?
10. Lily throws a baseball into the air and the height of the ball in feet at a given time t in seconds after she releases the ball is given by the function
H(t) = -16t2 + 30t + 5
a) Find the maximum height of the ball
b)State the domain and range for this situation. / 11. A ball is thrown in the air from a platform with an initial height of 10 meters with an initial velocity of 42meters per second.
a) Write a function that models this scenario.
b) Use your function to predict the height of theball after 3 seconds.
c) What is the maximum height of the ball
d) After how many seconds does this happen?
e) State the domain and range
12. Given the following function, fill in the blanks and graph the function.

a)x-intercept(s): ______
b)y-intercept(s): ______
c)Vertex: ______
Domain: ______Range:______