the-graphs-of-the-first-and-second-derivatives-of-ff-are-shown-which-of-the-foll

Question

The graphs of the first and second derivatives of $f$ are shown. Which of the following graphs is the possible graph of $f$ ?

Graph showing y=f'(x) as a red parabola and y=f''(x) as a green line, both on a Cartesian plane.

Accepted Answer

Graph showing a red curve with a point of inflection, crossing the x-axis, illustrating concavity changes.

Answer

Graph of a cubic function with inflection point, showing changes in concavity, crossing the x-axis three times.

Answer

Graph of a parabola opening upwards, showing a concave up curve on a Cartesian plane with x and y axes.

Answer

Graph of a downward-opening parabola on a coordinate plane, illustrating concavity.

The graphs of the first and second derivatives of ff are shown. Which of the following graphs is the possible graph of ff?