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

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

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

Answer

Explanation:

Step1: Recall function - increasing and decreasing definitions

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), (f(x_1)<f(x_2)). It is decreasing if (f(x_1)>f(x_2)) for (x_1 < x_2).

Step2: Analyze the given graph

Looking at the graph of the function, as we move from left - hand side ((x=-\infty)) to (x = 0), the (y) - values of the function are getting larger. As we move from (x = 0) to (x=\infty), the (y) - values of the function are getting smaller.

Answer:

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