SOLVED:Sketch a graph of a differentiable function y=f(x) that has the given properties. A local minimum value that is greater than one of its local maximum values.

SOLVED:Sketch the graph of a differentiable function f such that f > 0 and f^' < 0 for all real numbers x . Explain how you found your answer.

2. Sketch a graph of a differentiable function f such that r = 2 is the only critical number, f 0 on (2, ∞), lim(x→∞) f(x) = 6, and lim(x→-∞) f(x) = 6.