Sketching Graphs (VCE SSCE Mathematical Methods): Flashcards

Graph approaches non-horizontal, non-vertical line as $x \to \infty$

Numerator degree exactly one more than denominator degree

Where denominator equals zero

Identify asymptotes more easily

First derivative equals zero

Negative to positive

Positive to negative

Vertical asymptote splits domain into separate regions

Substitute $x = 0$

Set $f(x) = 0$