P3.1.3 - modulus function

The modulus function.; Students should be able to sketch the graphs of y = | ax + b | and the graphs of y = | f(x) | and y = f(| x |), given the graph of y = f(x).; For example, sketch the graph with equation y = | 2x − 1 | and use the graph to solve the equation | 2x − 1 | = x + 5 or the inequality | 2x − 1 | > x + 5.

Use modulus function to connect the rule to the data and decision in the question.

This matters because modulus function determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply modulus function to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: modulus function is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.