Question

Determine the interval(s) on which the given function is increasing.

Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right


(–∞, –1) ∪ (1,∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)

Answer 1

(c) (–∞, 0) ∪ (1, ∞)

Explanation:

You want to identify the intervals on which the function is increasing.

Relative extrema

Your description of the function tells you the answer:

• up from the left ... to a relative maximum at (0, 5)
• up to the right from a relative minimum at (1, 4)

The function is increasing on the intervals (-∞, 0) ∪ (1, ∞), choice C.

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Additional comment

A function is increasing when it goes up to the right. It will increase to a maximum, and increase from a minimum.

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