Question

The domain and range of this graph and what is the output for the input x=6?

Answer 1

The domain of a graph is the interval of values for x.

The following image shows the Domain:

As we can see, the domain is

`D=\lbrack-9,6\rbrack`

Or, it can also be written as follows:

`-9\leq x\leq6`

Now, we also need the range.

The range of a graph is the interval of values for y.

The range is shown in the following image:

As we can see, the range is:

`R=\lbrack-8,8\rbrack`

And it can also be written as follows:

`-8\leq y\leq8`

Finally, the output for the input x=6, is found by locating x=6, then we draw a line to the graph, and then to the output, which is the value of y:

The output is y=-8