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
b. there is no interval on which the graph is increasing.
on which interval(s) is the graph decreasing? select the correct choice below and fill in any answer boxes within your choice.
a. the graph is decreasing on - π, - \frac { π } { 2 } , \frac { π } { 2 }, π
(type your answer in interval notation. type an exact answer, using π as needed. use a comma to separate answers as needed.)
b. there is no interval on which the graph is decreasing.
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. type an exact answer, using π as needed. use a comma to separate answers as needed.)
b. there is no interval on which the graph is constant.

Explanation:

Step1: Analyze the graph for constant intervals

A function is constant on an interval if the \(y -\)values do not change as \(x\) changes within that interval. Looking at the given graph, we observe that for all \(x\) values in the domain of the graph, the \(y -\)values are either increasing or decreasing. There is no part of the graph where the \(y -\)value remains the same as \(x\) varies over an interval.

Answer:

B. There is no interval on which the graph is constant.