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Graphing polynomials don’t worry about the graph can you do the ones on the side

Graphing polynomials don’t worry about the graph can you do the ones on the side-example-1
User Sai Tej
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Third-degree polynomial usually has 1 relative maximum and 1 relative minimum, or they don't have a relative maximum or minimum. Looking at the graph we can see that there's one relative maximum and one relative minimum.

The relative minimum is near x = 1, and the relative maximum is near x = 3. There are 1 relative maximum and 1 relative minimum

The increasing interval will be the interval between the relative minimum and the relative maximum, then, approximately the interval (1.2, 2.8), that's the increasing interval


(1.2,2.8)

The decreasing interval will be any other value removing the increasing interval, then, we can write the decreasing interval as


(-\infty,1.2\rbrack\cup\lbrack2.8,+\infty)

User Zuzu Corneliu
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