Question

A cubic function has turning points at (-1,2) and (1,-2). Which could be its graph?

Answer 1

Graph D is the correct option

Step-by-step explanation

The turning points of a function are the points where its derivative changes sign - therefore the slope of the function changes sign. In other words, the turning points are the local maximums and local minimums of the function.

From these options, the one that has a local maximum/minimum at point (-1, 2) and another at point (1, -2) is option D.