Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a)[3]

Complete the value table for $y = \frac{18}{x}$.

(b)[4]

On the grid, draw the curve of $y = \frac{18}{x}$ for $-8 \le x \le -2$ and $2 \le x \le 8$.

(c)[1]

State the order of rotational symmetry of the graph.

(d(i))[2]

On the grid, plot and join the points $(-8, -3)$ and $(6, 4)$.

(d(ii))[2]

Write down the $x$-values at which this line crosses the graph of $y = \frac{18}{x}$.

(d(iii))[2]

Find the equation of the line in the form $y = mx + c$.

Worked solution & mark scheme

This 14-mark question has a full step-by-step worked solution and mark scheme. One marking point: $-2.25,\,-4.5,\,-9,\,9,\,4.5,\,2.25$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI