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.
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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
-value is paired by exactly one
-value and each
-value is paired by exactly one
-value.
Hence, the equation is 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 one-to-one and onto function.
\The function is Continuous.