Question

Which of the following most accurately identifies the relative maximum and minimum of the polynomial function h(x)?

a) The relative maximum occurs at x = -2, and the relative minimum occurs at x = 4.
b) The relative maximum occurs at x = 1, and the relative minimum occurs at x = -3.
c) There is no relative maximum, but the relative minimum occurs at x = 2.
d) The relative maximum occurs at x = 3, and the relative minimum occurs at x = -1

Answer 1

The relative maximum occurs at x = 1, and the relative minimum occurs at x = -3. Option B is correct.

Step-by-step explanation:

The correct answer is option b) The relative maximum occurs at x = 1, and the relative minimum occurs at x = -3.

To identify the relative maximum and minimum of a polynomial function, we need to determine where the function reaches its highest and lowest points.

In option b, the relative maximum occurs at x = 1 because the function reaches its highest point at that value. The relative minimum occurs at x = -3 because the function reaches its lowest point at that value.