Mathematics 0580 · IGCSE · Sketching curves

Sketching curves — practice question

The table gives some values of $y=\frac{3}{10}x^3-2x$ when $-3 \le x \le 3$.
(a)[3]

Fill in the table.

(b)[4]

On the grid, draw the curve of $y=\frac{3}{10}x^3-2x$ for $-3 \le x \le 3$.

(c)[4]

On the grid opposite, draw an appropriate straight line to solve the equation $\frac{3}{10}x^3-2x=\frac{1}{2}(1-x)$ for $-3 \le x \le 3$.

(d)[1]

For $-3 \le x \le 3$, the equation $\frac{3}{10}x^3-2x=1$ has $n$ solutions. Write down the value of $n$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: -2.1,1.6,-1.7,2.1

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI