Example 2
3. FOOTBALL The flight of a football thrown by a quarterback can be
modeled by an interval of a function. Sketch a nonlinear graph that
shows the height of a football y, in feet, as a function of time x, in
seconds.
Positive: between 0 seconds and 5 seconds
Negative: for time greater than 5 seconds (represents time after
the ball hits the ground)
Increasing: for time less than 2 seconds
Decreasing: for time greater than 2 seconds
Relative Maximum: at 2 seconds, when the height of the football is 9 feet
Height of Football (ft)
End Behavior: As time increases, the height of the football decreases.
Symmetry: The height of the football for time between 0 seconds and 2 seconds
is the same as the height for time between 2 seconds and 4 seconds.