use the graph to determine\n(a) open intervals on which the\nfunction is increasing, if any.\n(b) open…

use the graph to determine\n(a) open intervals on which the\nfunction is increasing, if any.\n(b) open intervals on which the\nfunction is decreasing, if any.\n(c) open intervals on which the\nfunction is constant, if any.\n(a) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is increasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never increasing.

use the graph to determine\n(a) open intervals on which the\nfunction is increasing, if any.\n(b) open intervals on which the\nfunction is decreasing, if any.\n(c) open intervals on which the\nfunction is constant, if any.\n(a) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. the function is increasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\nb. the function is never increasing.

Answer

Explanation:

Step1: Recall the definition of an increasing function

A function (y = f(x)) is increasing on an interval (I) if for any (x_1,x_2\in I) with (x_1<x_2), we have (f(x_1)<f(x_2)).

Step2: Analyze the graph

Looking at the given graph, as (x) moves from (-\infty) to (\infty), the (y -)values of the function are always getting larger.

Answer:

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