1.6.2 Exercises 42-57

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1.6.2 Exercises 42-57

Nand
I just want to confirm if the local maximums in the graph are indeed f(-3)=4 and f(2)=3 because in the graph used in page 100 it is stated there that the graph’s local maximum is (-2,4.5). Why are there only 1 local maximum in the example while there are two local maximums in the graph used in exercises 42-57?

Lastly, I don’t quite understand why there is no local minimum in the graph of example 1.6.4. Can you please explain it a bit differently? Thanks.
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Re: 1.6.2 Exercises 42-57

Carl Stitz
Administrator
To be a local max means you can "zoom in" near the point on the graph and when comparing the points on the right and left, there are no points higher than your local max point.

The same goes for a local min, but for a local min, when you zoom in, and compare points to the right and left of the graph, there are no points on the graph lower than the local min point.

Hope that helps!

Carl