Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

(a)[3]

Fill in the table of values for $y = \frac{15}{x}$, $x \ne 0$.

(b)[4]

On the grid, sketch the graph of $y = \frac{15}{x}$ for $-15 \le x \le -1$ and $1 \le x \le 15$.

(c)[1]

State the order of rotational symmetry of the graph.

(d(i))[2]

On the grid, draw the lines of symmetry for the graph.

(d(ii))[1]

State the equation of the line of symmetry that does not meet the graph.

(e)[1]

Use your graph to solve $\frac{15}{x} = -6$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The values are $-1, -3, -7.5, 7.5, 3, 1$.

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