\
Vertical Line Test :
\A collection of points is the graph of a function provided that every vertical line
\intersects the graph in at most one point.
\\
Consider the vertical line at , it touches the graph at
.
The graph satisfies the vertical line test.
\Thus, the graph is a function.
\\
Observe the graph of the function :
\The domain is all real numbers.
\The range is .
Observe the graph of the function :
\-intercepts are
and
.
-intercept is
.
Observe the graph of the function :
\The graph is symmetric with respect to the -axis.
\
The domain is all real numbers.
\The range is .
\
Intercepts are
,
, and
.
Symmetric with respect to the
-axis.