Tim Gan Math
All Years

2015 TYS

Question 2

Question

  1. Sketch the curve with equation $y=\left| \frac{x+1}{1-x} \right|$, stating the equations of the asymptotes. On the same diagram, sketch the line with equation $y=x+2$.

    [3]

  2. Solve the inequality $\left| \frac{x+1}{1-x} \right| < x+2$.

    [3]