13 lines
1.0 KiB
Markdown
13 lines
1.0 KiB
Markdown
TODO: Reformat/fact check
|
|
- To find the y intercept, it's the constant term on the top over the constant term on the bottom
|
|
- to find the x intercept, solve the top/numerator of the fraction for x
|
|
- To solve for the vertical asymptote, find the roots of the bottom.
|
|
- To solve for the horizontal asymptote:
|
|
- if the degree of the leading coefficient on the top is greater than the degree on the bottom, $y = 0$.
|
|
- If the degree on the top equals the degree on the bottom, y = `Leading Coefficient of Top / Leading Coefficient of Bottom`.
|
|
- If the degree on the top is greater than the degree on the bottom, divide to find the slant/oblique asymptote.
|
|
|
|
## Point of discontinuity
|
|
A point of discontinuity is created when you cancel terms out of the top and the bottom, the cancelled term creates a hole in the graph. For example, if you cancelled out $x-2$, a hole would be created on the graph at $x = 2$.
|
|
|
|
To solve for the y coordinate of a point of discontinuity, take the equation after it's simplified, and plug the x coordinate of the PoD into the equation. |