Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

(a(i))[2]

Complete the value table for $y = \frac{16}{x}$, $x \neq 0$.

(a(ii))[4]

On the grid, draw the curve of $y = \frac{16}{x}$ for $-16 \leq x \leq -1$ and $1 \leq x \leq 16$.

(b)[1]

Write down the order of rotational symmetry of your graph.

(c(i))[1]

Draw this symmetry line on the grid.

(c(ii))[1]

Write down the equation for this line of symmetry.

(d)[2]

By drawing a suitable line on the grid, solve the equation $\frac{16}{x} = 7$.

Worked solution & mark scheme

This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: $-4, -16, 8, 1$

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