Question

Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find: (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin.

Short answer

The graph is not a function.

Step-by-step solution

Step 1. Given information

The given graph is

Need to determine whether the graph is that of a function by using the vertical-line test. If it is, then use the graph to find: (a) The domain and range (b) The intercepts, if any (c) Any symmetry with respect to the x-axis, the y-axis, or the origin.

Step 2. Using Vertical Line test

The graph in the above figure is not a graph of functions, because there is a vertical line that intersects the graph at more than one point.