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
(a) what are the intercepts?
(-\pi,0),(0,0),(\pi,0)
(simplify your answer. type an ordered pair. use a comma to separate answers as needed. type an exact answer, using \pi as needed.)
(b) the domain is \square.
(type your answer in interval notation. type an exact answer, using \pi as needed.)

Explanation:

Step1: Identify domain from graph

The domain is the set of all \(x -\)values for which the function is defined. Looking at the graph, the left - most \(x\) value is \(-\pi\) and the right - most \(x\) value is \(\pi\).

Step2: Write in interval notation

The interval notation for a set of values from \(a\) to \(b\) (where \(a\) and \(b\) are included) is \([a,b]\). Here \(a =-\pi\) and \(b=\pi\).

Answer:

\([-\pi,\pi]\)