Question

Which intervals show f(x) increasing? Check all that apply.

A: [–2.5, –1.6)
B: [–2, –1]
C: (–1.6, 0]
D: [0, 0.8)
D: (0.8, 2)

There are multiple answers.

Answer 1

For this case what you should do is take into account the average rate of change.

By definition we have the average rate of change is:

`image`

Therefore, the function is growing for the intervals where it is fulfilled:

`image`

These growth intervals are given by:

(-1.6, 0]

[0, 0.8)

Answer:

The intervals that show f (x) increasing are:

(-1.6, 0]

[0, 0.8)

Answer 2

option C and option D the function f(x) is increasing.

Explanation:

" A graph is said to be increasing in an interval if it's value keeps on increasing in that particular interval ".

By looking at the graph attached in the question we could clearly see that the function f(x) is increasing in the interval (-1.6,0] and [0,0.8).

and in all the rest options asked in the question the function f(x) is decreasing.

Hence, for option C and option D the function f(x) is increasing.