Piecewise Linear Graphs (VCE SSCE General Mathematics): Flashcards

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Piecewise Linear Graphs
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Piecewise linear graph

Two or more linear equations, each for different value ranges

Step graph

Piecewise graph with all horizontal line segments

Meaning of ≤\leq in interval notation

Less than or equal to (value is included)

Meaning of << in interval notation

Less than (value is not included)

Step graph appearance

Looks like steps or stairs

Filled circles (●) on step graphs

Endpoint is included in that segment

Hollow circles (○) on step graphs

Endpoint is not included

Real-world uses of piecewise linear graphs

Delivery charges, tax brackets, tiered utility bills

When to use step graphs

Values constant for a period, then change suddenly

Key skill with piecewise equations

Matching x-value to correct interval to choose equation

Explore VCE SSCE General Mathematics Revision Notes by Topics

Substitution of Values Into a Formula and Constructing a Table of Values

Solving Linear Equations and Developing Formulas

Developing a Formula: Setting Up and Solving an Equation in Two Unknowns

Drawing Straight-Line Graphs and Finding Their Slope

Equations of Straight Lines

Finding the Equation of a Straight-Line Graph

Linear Modelling

Solving Simultaneous Equations

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Show more

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Explore VCE SSCE General Mathematics Model Answers by Topics

Substitution of Values Into a Formula and Constructing a Table of Values

Solving Linear Equations and Developing Formulas

Developing a Formula: Setting Up and Solving an Equation in Two Unknowns

Drawing Straight-Line Graphs and Finding Their Slope

Equations of Straight Lines

Finding the Equation of a Straight-Line Graph

Linear Modelling

Solving Simultaneous Equations

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Show more

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Explore VCE SSCE General Mathematics Quizzes by Topics

Substitution of Values Into a Formula and Constructing a Table of Values

Solving Linear Equations and Developing Formulas

Developing a Formula: Setting Up and Solving an Equation in Two Unknowns

Drawing Straight-Line Graphs and Finding Their Slope

Equations of Straight Lines

Finding the Equation of a Straight-Line Graph

Linear Modelling

Solving Simultaneous Equations

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Show more

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Explore VCE SSCE General Mathematics Exam Questions by Topics

Substitution of Values Into a Formula and Constructing a Table of Values

Solving Linear Equations and Developing Formulas

Developing a Formula: Setting Up and Solving an Equation in Two Unknowns

Drawing Straight-Line Graphs and Finding Their Slope

Equations of Straight Lines

Finding the Equation of a Straight-Line Graph

Linear Modelling

Solving Simultaneous Equations

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

Show more

Practical Applications of Simultaneous Equations

Piecewise Linear Graphs

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