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:
https://brainly.com/question/1770447
#SPJ1
