Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The diagram depicts a rectangle of length $7a$ and width $2a$, NOT TO SCALE. For part (c): the table is linked to $y = \frac{12}{x},\; x \neq 0$.
(a(i))[2]

Write an expression, in its simplest form, that gives the perimeter.

(a(ii))[2]

Write an expression, in its simplest form, that gives the area.

(b)[2]

Find the first three terms in this sequence.

(c(i))[3]

Complete the values in the table.

(c(ii))[4]

On the grid, draw the graph for $y = \frac{12}{x}$ for $-6 \le x \le -1$ and $1 \le x \le 6$.

(c(iii))[1]

On the grid, draw the straight line $y = 8$.

(c(iv))[1]

Use your graph to work out $\frac{12}{x} = 8$.

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