Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The table gives a few values of $y = 3 + 4x - x^2$ when $-1 \le x \le 5$.
(a)[3]

Complete the table of values.

(b)[4]

On the grid, sketch the graph of $y = 3 + 4x - x^2$ for $-1 \le x \le 5$.

(c)[1]

Write down one integer value of $k$ such that the equation $3 + 4x - x^2 = k$ has no solution.

(d)[4]

Solve the equation $-1 + \frac{9}{2}x - x^2 = 0$ by drawing an appropriate straight line on the grid.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: The missing values are $0.75, 3, 7, 3, 0.75$.

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