Curve Sketching 2 (AQA A-Level Further Maths): Flashcards

$y = \frac{1}{f(x)}$

Where $f(x) = 0$ (zeros become vertical asymptotes)

Same sign (both positive or both negative)

$+\infty$ (positive infinity)

Inverse: $f(x)$ up means $\frac{1}{f(x)}$ down

When $f(x) = \pm 1$

Max $\leftrightarrow$ min (except at $y=0$: asymptote)

Absolute value, always positive (distance from origin)

Reflect negative parts in x-axis upward

Max above x-axis (same x, opposite y)