The equation is .
Make the table of values to find ordered pairs that satisfy the equation.
\In this case, it is easier to choose y values and then find the corresponding values for x.
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0 \ | \
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1 \ | \
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2 \ | \
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Draw a coordinate plane.
\Plot the coordinate points.
\Then sketch the graph, connecting the points with a smooth curve.
\Since y can be any real number, there is an infinite number of ordered pairs that can be graphed. All of them lie on the graph shown.
\Every real number is the y - coordinate of some point on the graph, so the range is all real numbers. \ \
\But, only real numbers greater than or equal to are x - coordinates of points on the graph. So the domain is
, and the relation is continuous.
From the table and the vertical line test that there are two y values for each x values except .
Therefore, the equation does not represent a function.
The domain is all real numbers, the domain is , the relation is continuous and the equation
does not represent a function.