Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

(a(i))[2]

Complete the table for the values of $y = 8 + 3x - x^2$.

(a(ii))[3]

On the grid, draw the graph of $y = 8 + 3x - x^2$ for $0 \le x \le 5$.

(a(iii))[1]

Write down the coordinates of the graph's highest point.

(b(i))[2]

Complete the table for the values of $y = \frac{12}{x}$.

(b(ii))[3]

On the same grid, draw the graph of $y = \frac{12}{x}$ for $1 \le x \le 5$.

(c)[2]

Use your graphs to write down the solutions of the equation $8 + 3x - x^2 = \frac{12}{x}$.

Worked solution & mark scheme

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