Mathematics 0580 · IGCSE · Graphs of functions

Graphs of functions — practice question

The table gives some values for $y = 2x^3 + 4x^2$.
(a)[4]

Complete the table in full.

(b)[4]

Draw the graph of $y = 2x^3 + 4x^2$ over $-2.2 \le x \le 0.8$.

(c)[1]

Find how many solutions the equation $2x^3 + 4x^2 = 3$ has.

(d(i))[1]

Write down the equation of the straight line.

(d(ii))[3]

Use your graph to obtain the solutions of the equation $2x^3 + 4x^2 - x = 1$.

(e)[2]

Complete the inequality that gives $k$.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: The values are $0,\;2.25,\;2,\;1.25$.

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