IB Maths AA 2.3 Notes

This page contains our IB Maths AA notes for 2.3. By reading each one of these notes, 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

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Chapters

1. Solving functions

2. Solving analytically

3. Solving graphically

4. Choosing a method

5. Interpreting solutions

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Solving functions

In this topic, the aim is to solve equations both analytically and graphically. Some equations can be solved exactly using algebra, while others must be solved approximately using technology. This includes equations that arise from real-life models.

An analytic solution uses algebraic steps to find the exact value or values of the variable. A graphical solution uses graphs to find where two expressions are equal, or where a graph crosses the $x$ -axis.

If an equation is written as:

$f(x)=g(x)$

then the solutions are the $x$ -coordinates of the points where the graphs of $y=f(x)$ and $y=g(x)$ intersect.

Math Topic 2 subTopic 3 notes image 1

If an equation is written as:

$f(x)=0$

then the solutions are the $x$ -intercepts of the graph of $y=f(x)$ .

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