The equation is .
Make a table:
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The ordered pairs are .
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 the graph:
\There is no vertical line that contains more than one point.
\The equation passes the vertical line test.
\The equation represents a function.
\Find the function is one-to-one, onto and continuous or discrete.
\Each element of the domain is not paired with one unique element of the range.
\The equation is not onto function as the negative values of are not paired to
value.
Hence, the equation is not one-to-one and onto function.
\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.