The functions are ,
, and
.
The three functions have odd degree.
\Draw a coordinate plane.
\Graph the functions ,
, and
on same window.
Observe the graph :
\Common quality in each graph :
\They all passes through the points , and
.
They have similar end behavior.
\The three graphs are symmetric with respect to the origin.
\The difference among the graphs : As the degree increases, the steepness of the curve increases (except near ).
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 steepness of the curve increases (except near ).