Name:___________________________________________________Date:________________
Station 1
The height of a golf ball in the air can be modeled by the equation h = −16t 2 + 76t , where h is
the height in feet of the ball after t seconds.
a. Graph the function on your calculator and set an appropriate window.
Make a sketch here and include the zeros and vertex.
b. What is the ball’s maximum height? When will the ball reach its maximum height?
c. How long was the ball in the air?
Name:___________________________________________________Date:________________
Station 2
FRAMING A rectangular photograph is 7 inches long and 6 inches wide. The photograph is
framed using a material that is x inches wide. If the area of the frame and photograph
combined is 156 square inches, what is the width of the framing material?
Set up a quadratic equation that would allow you to
solve for x.
Use your graphing calculator to solve it by entering the left side of the equation into Y1 and the
right side in Y2 and finding the intersection point(s).
Name:___________________________________________________Date:________________
Station 3
The average retail price in the spring of 2009 for a used car is shown in the table below.
a. Write a linear function to model the price
of the car with respect to age.
b. Interpret the meaning of the slope of the line.
c. Assuming a constant rate of change predict the average retail price for a 7-year-old car.
Name:___________________________________________________Date:________________
Station 4
The Smits want to rent a house on the lake that sleeps 8 people. The cost of the house per night
is based on how close it is to the water.
a. Use your calculator to come up with equation of the best-fit line for this data. Round to the
nearest hundredth.
b. What is the value of r2? _______ Is the equation a good fit for the data?
c. According to your equation what would you estimate is the cost of a renta 1.75 mils from the
lake?
Name:___________________________________________________Date:________________
Station 5
Answer questions about the piecewise function f(x) to the right.
a. What is f(3)?
y
What is f(8)?
5
b. For what values of x does f(x) = – 2 ?
x
c. State the values of x for which f(x) is decreasing?
−8
8
d. State the values of x for which f(x) is increasing?
−5
e. State the domain and range of f(x).
f. What is the slope of the part of the function where x < 3?
g. What is the minimum y value?
Name:___________________________________________________Date:________________
Station 6
Sketch a graph of g(x) with the following characteristics.
g(– 8 ) = – 7
Increasing when −8 < x < −3 with a slope of 2
y
Decreasing when −3 < x < 5 with a slope of – 1
5
Increasing when x > 5
What is the domain and range of your graph?
x
−8
What is g( – 6)?
What is the minimum y value?
8
−5