Hello, darcalman!
Graph: . The function can be reduced . . .
. . provided
and there is a "hole" in the graph at
With , the x-intercept is (1,0).
There are vertical asymptotes: . and
As becomes extremely large, approaches zero.
. . There is a horizontal asymptote: (x-axis).
Test various values of and determine when the graph is above or below the x-axis.
Code:
: | :
: | :*
: | :
: |* : *
: | : *
: | * : *
: | * : *
- - - - - : - - - - + - -*- - : - - - - - - - -
* : | * :
o | * :
: * | :
: * | *:
: * | :
: | :
: *| :
: | :