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AP®︎/College Calculus AB

Lesson 3: Determining intervals on which a function is increasing or decreasing

Increasing & decreasing intervals

AP.CALC: FUN‑4 (EU), FUN‑4.A (LO), FUN‑4.A.1 (EK)

Let h, left parenthesis, x, right parenthesis, equals, x, start superscript, 4, end superscript, minus, 2, x, cubed.

On which intervals is h increasing?

(Choice A)
left parenthesis, start fraction, 3, divided by, 2, end fraction, comma, infinity, right parenthesis only
(Choice B)
left parenthesis, minus, infinity, comma, start fraction, 3, divided by, 2, end fraction, right parenthesis only
(Choice C)
left parenthesis, minus, infinity, comma, 0, right parenthesis and left parenthesis, start fraction, 3, divided by, 2, end fraction, comma, infinity, right parenthesis
(Choice D)
left parenthesis, 0, comma, start fraction, 3, divided by, 2, end fraction, right parenthesis only
(Choice E)
The entire domain of h

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