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

Answer 1

Step 1:

Vertical Line Test:

A collection of points is the graph of a function provided that every vertical line intersects the graph in at most one point.

Observe the graph:

Consider vertical line at , it touches the graph at .

Thus the graph does not satisfy the vertical line test.

Hence the graph is not a function.

Solution:

The graph is not a function.