Functions and Relations (HSC SSCE Mathematics Advanced): Flashcards

📚Flashcards
Introduction to Absolute Value Functions
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Absolute value represents

Distance of a number from zero on a number line

Sign of absolute value output

Always non-negative

Notation for absolute value function

f(x)=xf(x) = |x|

Piecewise definition of x|x|

xx if x0x \geq 0; x-x if x<0x < 0

Domain of f(x)=xf(x) = |x|

All real numbers, (,)(-\infty, \infty)

Range of f(x)=xf(x) = |x|

All non-negative real numbers, [0,)[0, \infty)

Graph shape of y=xy = |x|

V-shaped curve

Vertex of y=xy = |x| graph

(0,0)(0, 0)

Symmetry of y=xy = |x| graph

Symmetric about the y-axis

Identity: x2\sqrt{x^2} equals

x|x|

Join 100,000+ SSCE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.