Modulus Functions - Sketching Graphs (Edexcel A-Level Mathematics): Flashcards

It returns the positive equivalent of the input.

Rewrite as $-3 \leq x \leq 3$.

$x < -2$ or $x > 2$.

$-3 \leq x \leq 5$.

$2x + 3 > 7$ or $2x + 3 < -7$.

Consider cases for expressions inside and solve each separately.

Split into cases and analyze each interval.

They always yield non-negative results.

A V-shape with a vertex at $x = 3$.

It's the non-negative value of the number's distance from zero.