The functions are ,
, and
.
The three functions have even degree.
\Draw a coordinate plane.
\Graph the functions ,
, and
on same window.
.
Observe the graph :
\Common quality in each graph :
\The three graphs passes through the points , and
.
They have similar end behavior.
\The three graphs are symmetric with respect to the -axis.
Range of the each functions is .
The difference among the graphs : As the degree increases, the midsection " flattens ".
\ \Common quality in each graph: They have similar end behavior.
\They all passes through the points , and
.
The difference among the graphs : As the degree increases, the midsection " flattens".