Question

Transformations of functions and domain

Answer 1

by looking at the graph given we can see that:

• The graph is decreasing in (-∞, -5]
• The graph is increasing in [5, ∞)

And the function is never constant.

How to determine in which intervals the function increases, decreases or is constant?

Here our function is:

f(x) = √(x^2 - 25)

And we have a graph of it.

First, remember that the argument of a square root needs to be zero or larger, so the interval (-5, 5) is not in the domain of our function.

We also can see that this is a square root, so there are no interval where the function is constant.

Finally, by looking at the graph given we can see that:

• The graph is decreasing in (-∞, -5]
• The graph is increasing in [5, ∞)

If you want to learn more about domains:

brainly.com/question/1770447

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