identifying increasing and decreasing intervals which statement is true regarding the intervals where the…

identifying increasing and decreasing intervals which statement is true regarding the intervals where the function is increasing and decreasing? the function is increasing from (-∞, 0). the function is increasing from (0, ∞). the function is decreasing from (-∞, 0). the function is decreasing from (-∞, ∞).

identifying increasing and decreasing intervals which statement is true regarding the intervals where the function is increasing and decreasing? the function is increasing from (-∞, 0). the function is increasing from (0, ∞). the function is decreasing from (-∞, 0). the function is decreasing from (-∞, ∞).

Answer

Explanation:

Step1: Recall increasing - decreasing function concept

A function $y = f(x)$ is increasing if as $x$ increases, $y$ increases and decreasing if as $x$ increases, $y$ decreases.

Step2: Analyze the given graph

Looking at the graph, as we move from left - hand side (negative $x$ - values) towards $x = 0$, the $y$ - values of the function are going up. After $x=0$, as $x$ increases, the $y$ - values of the function are going down.

Answer:

The function is increasing from $(-\infty,0)$.