The equation is .
Make the table of values to find ordered pairs that satisfy the equation.
\Choose values for x and find the corresponding values for y.
\ \
x \ | \
\
| \
\
(x, y) \ | \
\
| \
\
| \
\
| \
\
| \
\
| \
\
| \
\
0 \ | \
\
| \
\
| \
\
1 \ | \
\
| \
\
| \
\
2 \ | \
\
| \
\
| \
Draw a coordinate plane.
\Plot the coordinate points.
\Then sketch the graph, connecting the points with a smooth curve.
\Since x can be any real number, there is an infinite number of ordered pairs that can be graphed. All of them lie on the line shown.
\Notice that every real number is the x - coordinate of some point on the graph, so the domain is all real numbers. \ \
\But, only real numbers greater than or equal to 0 are y - coordinate of points on the graph. So \ \
range is , and the relation is continuous.
From the graph, there is no vertical line that contains more than one of the points. Form the table each x - value, there exactly one y - value.
\Therefore, the equation represent a function.
The domain is all real numbers, the range is , the relation is continuous and the equation
represent a function.