The equation is .

Make a table form:

The relation as ordered pairs.

Graph:

Graph of the equation is . 

Plot the points .

Observe the graph:

Every real number is the -coordinate of some point on the line.

So, the domain (-coordinates on the line) is set of all real numbers.

Every real number is the -coordinate of some point on the line about -axis.

So, the range (-coordinates on the line) is also set of non negative real numbers.

Vertical line test:

Draw the vertical lines through the points.

Observe that there is no vertical line contains more than one of the points.

This graph passes the vertical line test.

The equation represents a function.

Each element of the domain is not paired with exactly one unique element of the range.

The function is not one-to-one function.

The equation is not onto function as for negative values of are not paired to value.

As the graph is a solid line without breaks, the function is Continuous.

The domain (-coordinates on the line) is set of all real numbers.

The range (-coordinates on the line) is also set of all real numbers. 

The equation represents a function.

The equation is not one-to-one and onto function.

The function is Continuous.