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

Explanation:

Step1: Recall increasing - function definition

A function $y = f(x)$ is increasing on an interval if for any two points $x_1$ and $x_2$ in the interval with $x_1<x_2$, then $f(x_1)<f(x_2)$. Graphically, the function is increasing when the graph moves up - ward as we move from left to right.

Step2: Analyze the given graph

Looking at the graph of $y = f(x)$, we can see that the function is increasing on the intervals $(-1.6,0)$ and $[0,0.8)$. In the interval $(-1.6,0)$, as $x$ increases from $- 1.6$ to $0$, the $y$ - values of the function increase. Similarly, in the interval $[0,0.8)$, as $x$ increases from $0$ to $0.8$, the $y$ - values of the function increase.

Answer:

$(-1.6,0)$, $[0,0.8)$