which intervals show f(x) increasing? choose two options
[-2.5,-1.6)
[-2,-1]
(-1.6,0]
[0,0.8)
(0.8,2)

The two intervals in which the function f(x) is increasing are [ -1.6, 0.8] and [0, 0.8].
A function is increasing over an open interval provided the y -coordinates of the point in the interval get larger, or equivalently the graph gets higher as it moves from left to right over the interval.
A function is decreasing over an open interval provided the y -coordinates of the point in the interval get smaller, or equivalently the graph gets lower as it moves from left to right over the interval.
According to the given question.
We have a graph of a function f(x).
If we see the graph in the interval [ -1.6, 0.8] the function f(x) is increasing or the graph is getting higher as it moves from left to right.
Also, the function f(x) is increasing in the interval [0, 0.8].
Hence, the two intervals in which the function f(x) is increasing are [ -1.6, 0.8] and [0, 0.8].
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