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

Absolute value (always positive)

$x$

$-x$

$-3 \leq x \leq 3$

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

Rewrite as $-4 \leq x - 1 \leq 4$

Split: $2x + 3 > 7$ or $2x + 3 < -7$

Distance from origin

Reflects negative parts above x-axis

V-shape, at or above x-axis