Discussion:
Q1. During the championship soccer game, the goalkeeper, Brandon, kicked the ball straight up to the Mid-Fielder, Alex, with an initial velocity of 32 feet per second. The height of the ball relative to the ground is a function of time given by the following equation:
f(t)-16t2+32t
Graph this function for these conditions:
a. t is greater than or equal to 0
b. t is less than 0
What is the maximum height reached by this soccer ball?
Q2. A manufacturing company uses the following function to model the unit cost in dollars to produce the x number of toys.
f(x)=0.02x2-3.4x+150
For what number of toys is the unit cost at its minimum? What is the unit cost at that level of production?