Question

State the domain and range for the graph and tell if it is a function.

Answer 1

The arrows indicate that the graph of the function continues beyond what can be seen in the image.

Notice that the graph does not appear to have asymptotes; then, the domain of the function is:

`\text{domain}=(-\infty,\infty)`

And the range is:

`\text{range}=(-\infty,\infty)`

Since the graph seems to continue towards the +y-direction and the -y-direction

Finally, notice that for each value of x, the graph has only one value of y. This is the key characteristic of a function; the graph is a function.