Question

watch the video and then solve the problem given below. click here to watch the video. use the graph to determine (a) intervals on which the function is increasing, if any. (b) intervals on which the function is decreasing, if any. (c) intervals on which the function is constant, if any. (a) select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the function is increasing on the interval(s) (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never increasing.

Explanation:

Step1: Analyze the graph for increasing intervals

A function is increasing when, as \(x\) values increase, \(y\) values also increase. Looking at the graph, from \(x=-1\) to \(x = 0\) and from \(x = 1\) to \(x=2\), as \(x\) increases, \(y\) increases. In interval notation, these are \((-1,0)\) and \((1,2)\).

Answer:

A. The function is increasing on the interval(s) \((-1,0),(1,2)\)