which statement best describes the function represented by the graph? the function is increasing on the…

which statement best describes the function represented by the graph? the function is increasing on the interval (-∞, ∞). the function is decreasing on the interval (-∞, 0) and increasing on the interval (0, ∞). the function is increasing on the interval (-∞, 0) and decreasing on the interval (0, ∞). the function is decreasing on the interval (-∞, ∞).

which statement best describes the function represented by the graph? the function is increasing on the interval (-∞, ∞). the function is decreasing on the interval (-∞, 0) and increasing on the interval (0, ∞). the function is increasing on the interval (-∞, 0) and decreasing on the interval (0, ∞). the function is decreasing on the interval (-∞, ∞).

Answer

Explanation:

Step1: Analyze left - hand side of graph

As we move from left to right (negative x - values), the y - values of the function are getting smaller. So the function is decreasing for (x\in(-\infty,0)).

Step2: Analyze right - hand side of graph

As we move from left to right (positive x - values), the y - values of the function are getting smaller. So the function is decreasing for (x\in(0,\infty)).

Step3: Determine overall behavior

Since the function is decreasing for all real x - values, it is decreasing on the interval ((-\infty,\infty)).

Answer:

The function is decreasing on the interval ((-\infty,\infty)).