The modulus functionEdexcel International A Level Maths: Mind map

Exam questions on The modulus function

1. 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
2. Let $f(x)=x^2-4x+3$, $x\in\mathbb{R}$.
   Solve $|f(x)|=3$.2 marks
3. Consider the equation $|3x-2|=2x+1$ and the inequality $|3x-2|<2x+1$.
   Solve the equation $|3x-2|=2x+1$.3 marks