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?
(simplify your answer. type an ordered pair. use a comma to separate answers as needed.)

Explanation:

Step1: Recall the definition of intercepts

The \(x -\)intercepts are the points \((x,0)\) where the graph crosses the \(x -\)axis, and the \(y -\)intercept is the point \((0,y)\) where the graph crosses the \(y -\)axis.
Looking at the graph, when \(y = 0\), \(x=-2\) and \(x = 2\). When \(x = 0\), \(y = 1\).

Answer:

\((-2,0),(2,0),(0,1)\)