IB Maths AA 2.3 Definitions

This page contains our IB Maths AA definitions for 2.3. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Solving functions'.

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

accuracy

The stated precision of an approximate solution, such as to

3

decimal places or to

2

significant figures.

domain

The set of input values for which a model is intended to be used, chosen using the context rather than only the algebraic definition.

equations

Statements that two expressions are equal, often written as

f(x)=g(x)

f(x)=0

, and solved by finding the input values that make the statement true.

factorising

Rewriting an expression as a product of simpler factors so that solving an equation can be reduced to setting each factor equal to zero.

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)

roots

Values of

w

that satisfy an equation of the form

w^n=z

; for

z=r\operatorname{cis}\theta

, the

n

th roots are

w_k=\sqrt[n]{r}\operatorname{cis}\left(\frac{\theta+2k\pi}{n}\right)

for

k=0,1,\dots,n-1

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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