From: Andrew Lorimer Date: Mon, 1 Apr 2019 05:29:39 +0000 (+1100) Subject: [spec] rational functions X-Git-Tag: yr12~174 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/372920a4f4b1a274989b0d814392f2d980705de3 [spec] rational functions --- diff --git a/spec/calculus.md b/spec/calculus.md index c59c4b7..c9a364e 100644 --- a/spec/calculus.md +++ b/spec/calculus.md @@ -257,3 +257,13 @@ $${dy \over dx} = {{dy \over dt} \over {dx \over dt}} \> \vert \> {dx \over dt} $${d^2 \over dx^2} = {d(y^\prime) \over dx} = {{dy^\prime \over dt} \over {dx \over dt}} \> \vert \> y^\prime = {dy \over dx}$$ +# Rational functions + +$$f(x) = {P(x) \over Q(x)} \quad \text{where } P, Q \text{ are polynomial functions}$$ + +## Addition of ordinates + +- when two graphs have the same ordinate, $y$-coordinate is double the ordinate +- when two graphs have opposite ordinates, $y$-coordinate is 0 i.e. ($x$-intercept) +- when one of the ordinates is 0, the resulting ordinate is equal to the other ordinate +