Graphs of functions, asymptotes and proportional relationshipsEdexcel A-Level Maths: Mind map

Exam questions on Graphs of functions, asymptotes and proportional relationships

1. The curve $C$ has equation $y=x^2(2x-1)^2$.
   Solve $x^2(2x-1)^2=1$, and hence state how many times the line $y=1$ meets $C$.2 marks
2. The curve $H$ has equation $y=\frac{3}{x-2}+1$.
   Find the coordinates of the points where $H$ meets the line $y=x+1$.2 marks
3. A fixed mass of gas is kept at constant temperature. Its pressure $P$ kPa is inversely proportional to its volume $V$ litres, and $P=150$ when $V=2$.
   Find an equation for $P$ in terms of $V$, and hence find the pressure when $V=5$.3 marks