\"\"

\

The equation is \"\".

\

Make a table:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\"\"\"\"\"\"
\

The ordered pairs are \"\".

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\"\"

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Graph:

\

Graph of the equation is \"\".

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Plot the points\"\".

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\"graph

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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.

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

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So, the range (\"\"-coordinates on the line) is also set of all real numbers.

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\"\"

\

Vertical line test:

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Draw the vertical lines through the points.

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\"graph

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Observe the graph:

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There is no vertical line that contains more than one point.

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The equation passes the vertical line test.

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The equation represents a function.

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\"\"

\

Find the function is one-to-one, onto and continuous or discrete.

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Each \"\"-value is paired by exactly one \"\"-value and each \"\"-value is paired by exactly one \"\"-value.

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Hence, the equation is one-to-one and onto function.

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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.