The modulus functionEdexcel A-Level Maths: Flashcards

What these 13 flashcards ask

What is |-7|?
What shape is the graph of y=|ax+b|?
Vertex of y=|2x-1|?
How do you sketch y=|f(x)|?
Solve |2x-1|=3.
How many solutions has |ax+b|=c for c<0?
The two cases for |ax+b|=cx+d?
Why check solutions of |x|=2x-3?
Solve |3x+2|<4.
Solve |3x+2|4.
Solve |2x-1|x.
Solve |3x-6|<x+2.
Why can you square both sides of |f(x)|g(x) when g is non-negative?

Exam questions on The modulus function

The function $f$ is defined by $f(x)=|2x-1|$ .
Solve $f(x)=3$ .2 marks
The function $g$ is defined by $g(x)=|3x+2|$ .
State the coordinates where the graph of $y=g(x)$ meets the $y$ -axis, and the coordinates of its vertex.2 marks
Consider the graph of $y=|2x-1|$ and the straight line $y=x$ .
Solve $|2x-1|=x$ .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).