Where is this function increasing and decreasing?
2020-03-16 11:16 am
the function has a local maximum at (-1, 2), a local minimum at (1, -2), an absolute maximum at (3, 18) and an absolute minimum at (-3, -18).
回答 (1)
2020-03-16 11:21 am
Going from left-to-right, we have:
minimum at (-3, -18), maximum at (-1, 2), minimum at (1, -2), maximum at (3, 18)
Anything left of the first minimum will come from infinity, so it's decreasing until it reaches -3, then goes increasing again. Every time it reaches a new min or max it changes direction until the end will be decreasing into negative infinity.
So the ranges of increasing and decreasing are:
increasing: (-3, -1), (1, 3)
decreasing: (-∞, -3), (-1, 1), (3, ∞)
minimum at (-3, -18), maximum at (-1, 2), minimum at (1, -2), maximum at (3, 18)
Anything left of the first minimum will come from infinity, so it's decreasing until it reaches -3, then goes increasing again. Every time it reaches a new min or max it changes direction until the end will be decreasing into negative infinity.
So the ranges of increasing and decreasing are:
increasing: (-3, -1), (1, 3)
decreasing: (-∞, -3), (-1, 1), (3, ∞)
收錄日期: 2021-04-24 07:48:19
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