Absolute value and piecewise functions
Modulus, modular equations and inequalities, corner graphs and branch functions
The Absolute value and piecewise functions unit belongs to the Functions and polynomials section of Math Mental and has 20 lessons: modulus, modular equations and inequalities, corner graphs and branch functions.
Lessons in this unit
- Modulus of a number
- Modulus of an expression
- Modulus as distance
- Equation |x - a| = r
- Equation |ax + b| = c
- Equation with no solution
- Inequality |x - a| < r
- Inequality |x - a| > r
- Corner of the graph
- Height at a point
- Smallest value of the function
- Value inside a branch
- Value at the border
- Jump at the border
- Domain of a modular function
- Range of a modular function
- Distance between marks
- Measurement tolerance
- Unit review
- Unit trophy
How to work through this unit
Follow the lesson order
The unit has 20 lessons of increasing difficulty. Finish one before moving on: the early techniques come back in the later questions.
Solve it before reading the solution
Work every question out on your own, then read the step by step and check the reason for each step instead of only comparing the final answer.
Lock it in during review
The question types you miss come back in practice and review until you get them right in a row. The unit test confirms the whole unit stuck.
Frequently asked questions about this unit
What does the Absolute value and piecewise functions unit cover?
Absolute value and piecewise functions belongs to the Functions and polynomials section and has 20 lessons: modulus, modular equations and inequalities, corner graphs and branch functions. The lessons start with the basic cases and build up to applications, always with a step-by-step solution.
What should I know before studying Absolute value and piecewise functions?
This page names the previous unit on the path. If it is not solid yet, go back and practice first; if there is no prerequisite, this is where the path begins.
How long does Absolute value and piecewise functions take?
Each lesson takes a few minutes. Most students do one or two a day and finish a unit in one or two weeks. The goal is answering correctly day after day, not clearing everything at once.
Are the Absolute value and piecewise functions exercises free?
Yes. Every Math Mental lesson is free and ad-free; you only need an account to save your progress.
Your first lesson takes five minutes
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