Question

For which intervals is the function increasing?

Select each correct answer.




(0, 1)

(2, ∞)

(1, 2)

(−∞, 0)
 
Note: Multiple choice question

Answer 1

The intervals where the function is increasing are
`(-\infty,0)` and
`(1,2)`

Explanation:

We are required to find the intervals in which the function is increasing.

From the figure, we see that,

The graph is going up towards the origin to reach the point (0,0).

Then, it is going down in the interval (0,1).

Then, it is again going up to reach the point (2,0).

Finally, it is going downwards towards infinity.

Thus, we see that,

The intervals where the function is increasing are
`(-\infty,0)` and
`(1,2)`