Solve and show work.
The quadratic function f(x)= 16x^2 + 90x models the height of a baseball in feet after x seconds. How long is the baseball in the air?

(a) sketch a graph of the function
(b) using your graph, estimate how long the baseball is in the air
(c) using your calculator, estimate how long the baseball is in the air
(d) using the given equation, check your answer from (c) for reasonableness