Assignment:
A ball thrown vertically upward at time t = 0 (s) with initial velocity 80 ft/s and with initial height 96 ft has height function:
a) What is the maximum height attained by the ball?
b) When and with what impact speed does the ball hit the ground?
y(t)= -16t^2+ 80t+ 96
Find the interval on which the function is increasing and decreasing. Sketch the graph of y = f(x), and identify any local maxima and minima. Any global extrema should also be identified.
f(x)=(x-2)^2(x+3)^2
Provide complete and step by step solution for the question and show calculations and use formulas.