429,342 views
19 votes
19 votes
Explain the domain on which the following function is increasing.

Explain the domain on which the following function is increasing.-example-1
User Sean Seefried
by
3.1k points

1 Answer

21 votes
21 votes

Answer:

The function is increasing during the interval 0 < x < 5.

Explanation:

“The domain on which the function is increasing” is just a fancy way of saying, over what X values is the f(x), or y, of the function increasing! When looking at a graph, whenever the function line is going up, that is when the function is increasing. All you need to to is find the X values over this time. Then, just format them in the [lowest x] < x < [highest x] format.


With this function, we can see that the f(x), or y, is increasing between X = 0 and X = 5. We would write 0 < x < 5. This shows that x is more than 0, but is less than 5 over the interval where it is increasing.


Let me know if you have any questions!

User Seyed Abbas
by
3.6k points