Determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find

(a) its domain and range.

(b) the intercepts, if any.

(c) any symmetry with respect to the x-axis, y-axis, or the origin.

Is the graph that of a function?

No Yes

y

x -8 8

-4

4

2

-4

-2

4

If the graph is that of a function, what are the domain and range of the function? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

1. The domain is . The range is . (Type your answers in interval notation.)
2. The graph is not that of a function.

If the graph is that of a function, what are the intercepts of the function? Select the correct choice below and, if necessary,

fill in the answer box to complete your choice.

1. The intercept(s) is/are .
2. (Type an ordered pair. Use a comma to separate answers as needed.)
3. The graph is not that of a function.

If the graph is that of a function, determine what kinds of symmetry it has. Select all that apply.

1. The graph is a function and is symmetrical with respect to the y-axis.
2. The graph is a function and is symmetrical with respect to the x-axis.
3. The graph is a function and is symmetrical with respect to the origin.
4. The graph is a function and is not symmetrical.
5. The graph is not that of a function.