Question

State whether each of the following graphs represents the graph of a function. Determine the domain and range of the relation. Write the answers in set-builder notation and interval notation.

Answer 1

If you consider the vertical line test (a graph represent a function is a vertical line crosses the curve of the function only once), you can consider that a vertical line at x=5 crosses the curve at two points.

Then, you can conclude that the given relation is not a function.

The domain are the set of x values with points on the curve. In this case:

domain = [2 , oo)

The range are the set of y values with points on the curve. In this case:

range = (-oo , oo)