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.

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

Step-by-step 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.

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:

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

These growth intervals are given by:

(-1.6, 0]

[0, 0.8)

The intervals that show f (x) increasing are:

(-1.6, 0]

[0, 0.8)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.