Question

Let f(x) be a polynomial function such that f(−4)=−5,f′(−4)=0 and f′′(−4)=1. classify the point (−4,−5).

Answer 1

THis will be  the coordinates of the point  at a turning point on the graph.

Since the second derivative  is positive (=1)  it will be a minimum value of f(x).