which intervals show f(x) increasing? choose two options.\n-2.5, -1.6)\n-2, -1\n(-1.6, 0\n0, 0.8)\n(0.8, 2)

Explanation:

Step1: Recall increasing - function property

A function $y = f(x)$ is increasing on an interval if for any two points $x_1$ and $x_2$ in the interval with $x_1<x_2$, we have $f(x_1)<f(x_2)$. Graphically, the function is increasing when the graph goes up 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 where the slope is positive. - In the interval $(-1.6,0]$, as we move from left to right (from $x=-1.6$ to $x = 0$), the $y$ - values of the function are increasing. - In the interval $[0,0.8)$, as we move from left to right (from $x = 0$ to $x=0.8$), the $y$ - values of the function are increasing. - In the interval $(-2.5,-1.6)$ and $(-2,-1)$ and $(0.8,2)$, the function is decreasing.

Answer:

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