Thread: curve sketching

Sketch the grapgh of the function y = f(x) in the neighbourhood of x = a where a = 0, f(a)=3, f'(a) < 0 and f"(a) < 0

Originally Posted by robertosavin

Sketch the grapgh of the function y = f(x) in the neighbourhood of x = a where a = 0, f(a)=3, f'(a) < 0 and f"(a) < 0

The curve passes through the point x=0, y=3, it is sloping down from left to right, and it is curving downwards.

Each of these is just a translation of the three conditions you are given.

CB