MODELING REAL LIFE The parabola models the
height y (in feet) of a
snowboarder x seconds
after leaving a jump. Let
the x-axis represent the
base of the jump.
(See Example 4.)
Height (feet)
Height of
Snowboarder
y
20
10
0
(0.75, 18)
a. Write a function f
that models the
height of the
snowboarder over
time. How long is
the snowboarder in the air when he lands 7 feet
below the base of the jump?
-10
(0,9)
1
Time (seconds)
b. What is the average rate of change in the
snowboarder's height over the interval in
which the snowboarder's height is decreasing?
increasing? Compare the average rates of change.