Assignment:
Please sketch a graph of a function f have the indicated characteristics. Please explain.
(a) f(0) = f(2) = 0
f'(x) > 0 if x <1
f'(1) = 0
f'(x) < 0 if x > 1
f''(x) < 0
(b) f(0) = f(2) = 0
f'(x) < 0 if x < 1
f'(1) = 0
f'(x) > 0 if x > 1
f''(x) > 0
Provide complete and step by step solution for the question and show calculations and use formulas.