The modulus functionEdexcel International A Level Maths: Flashcards

What these 13 flashcards ask

What is |x|?
Define |x| piecewise.
What is the shape of y=|ax+b|?
Vertex of y=|2x-1|?
How do you sketch y=|f(x)|?
How do you sketch y=f(|x|)?
Is y=f(|x|) symmetrical?
How do you solve |f(x)|=g(x)?
Solve |2x-1|=x+5.
Why check solutions of a modulus equation?
Solve |2x-1|x+5.
How can you decide which regions satisfy an inequality?
What does squaring do in |a|=|b|?

Exam questions on The modulus function

Consider the function $f(x)=|2x-1|$ , $x\in\mathbb{R}$ , and the line $y=x+5$ .
State the coordinates of the vertex of the graph of $y=f(x)$ and the coordinates of its $y$ -intercept.2 marks
Let $f(x)=x^2-4x+3$ , $x\in\mathbb{R}$ .
Solve $|f(x)|=3$ .2 marks
Consider the equation $|3x-2|=2x+1$ and the inequality $|3x-2|<2x+1$ .
Solve the equation $|3x-2|=2x+1$ .3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).