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.
So, the range (
-coordinates on the line) is also set of all 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 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 non negative real numbers.
The equation represents a function.
\The function is not one-to-one function.
\The equation is not onto function.
\The function is Continuous.