IB Maths AA 2.6 Definitions

This page contains our IB Maths AA definitions for 2.6. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Inequalities'.

All Topic 2 Sub-topics 2.1: Forms Of Lines 2.2: Functions 2.3: Solving Functions 2.4: Graph Transformations (HL)2.5: Advanced functions (HL)2.6: Inequalities (HL)2.7: Additional transformations

f(x)

A function rule that assigns each input

x

a single output value, written as

f(x)

g(x)

A function used in comparisons such as

g(x)\geq f(x)

, where solutions are the

x

-values for which the graph

y=g(x)

lies on or above

y=f(x)

intersect

A calculator feature or graphical method that finds the approximate

x

-value where

y=f(x)

and

y=g(x)

meet, corresponding to a solution of

f(x)=g(x)

interval notation

A way to write solution sets as intervals of

x

, using brackets to show whether endpoints are included (for

\leq

\geq

) or excluded (for

\lt

\gt

modulus equations

Equations involving modulus that are typically solved by splitting into cases, such as

|A|=k

giving

A=k

A=-k

piecewise

Defined by different algebraic rules on different parts of the domain, for example using one rule when

x\geq0

and another when

x\lt0

technology

Digital tools such as a graphic display calculator (GDC) or a spreadsheet used to carry out calculations, solve equations, and model financial situations efficiently.

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