standard_description: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.
problem_activity: Suppose Brett and Andre each throw a baseball into the air. The height of Brett's baseball is given by
$${h(t)=-16t^2+79t+6}$$
where
$$h$$
is in feet and
$$t$$
is in seconds. The height of Andre's baseball is given by the graph below.
[IMG]
Brett claims that his baseball went higher than Andre’s, and Andre says that his baseball went higher.
Who is right?
How long is each baseball airborne?
Construct a graph of the height of Brett’s throw as a function of time on the same set of axes as the graph of Andre’s throw, and explain how this can confirm your claims to parts (a) and (b).


aligns: yes