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\n(a) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\n○ a. the function is increasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\n○ b. 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\n(a) select the correct choice below and, if necessary, fill in the answer box to complete your choice.\n○ a. the function is increasing on the interval(s)\n(type your answer in interval notation. use a comma to separate answers as needed.)\n○ b. 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 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)). Visually, the graph of the function rises from left - to - right on an increasing interval.

Step2: Analyze the given graph

Looking at the graph, we can see that the function rises (is increasing) on the interval ((- 1,1))

Answer:

A. The function is increasing on the interval(s) ((-1,1))