Question

Which interval contains a local minimum for the graphed function?

Answer 1

We define a local minimum as a point x₀ such that f(x₀) ≤ f(x) for any value of x in a given interval (a, b), such that x₀ also belong to that interval.

We will see that the only interval that contains a local minimum is [2.5, 4]

These are easier to identify in graphs, as we only need to see a low point where the function stops to decrease and starts to increases, these are local minimums.

In this graph we can see two, that are marked in the image below:

One is at (3, -4) and the other is at (-0.44, -4.3)

So the intervals that contain local minimums are (remember that we look to the values of x)

[2.5, 4]

This is the only interval that contains a local minimum (the second one).

If you want to learn more, you can read:

brainly.com/question/10878127