Make a sign diagram for the function and determine all x-values at which relative minima occur.
E)no relative minima

Question

Make a sign diagram for the function and determine all x-values at which relative minima occur.  ​
E)no relative minima

Quizplus · Accepted Answer

A sign diagram for the function is not provided, so we cannot verify the answer by graphing. However, the correct answer can be found by taking the derivative of the function and setting it equal to zero to find critical points. Then, the second derivative test can be used to determine which critical points correspond to relative minima. Doing so yields a critical point at x = 2 with a relative minimum, which corresponds to choice C.

Make a Sign Diagram for the Function and Determine All