Question

using the given graph of the function f, find the following.
(a) the intercepts, if any
(b) its domain and range
(c) the intervals on which it is increasing, decreasing, or constant
(d) whether it is even, odd, or neither

on which interval(s) is the graph constant? select the correct choice below and fill in any answer boxes within your choice.
a. the graph is constant on
(type your answer in interval notation. use a comma to separate answers as needed.)
b. the graph is not constant on any interval.

Explanation:

Step1: Analyze the graph for constant intervals

A function is constant on an interval if the \(y -\)values do not change as the \(x -\)values increase.
Looking at the graph, we can see that the \(y -\)value is \(2\) when \(x\in[-4, - 2]\) and the \(y -\)value is \(-1\) when \(x\in[1,2]\).

Answer:

A. The graph is constant on \([-4,-2],[1,2]\)