Mathematics 4024 · O Level · Sketching curves

Sketching curves — practice question

Examine the graph of $y = \frac{x^3}{2} - 3x + 2$.
(a)[1]

Fill in the table for $y = \frac{x^3}{2} - 3x + 2$.

(b)[3]

On the grid, sketch the graph of $y = \frac{x^3}{2} - 3x + 2$ for $-3 \le x \le 3$.

(c)[2]

State the coordinates of the minimum point on your graph for $x > 0$.

(d)[2]

Use your graph to find the solutions of $\frac{x^3}{2} - 3x + 2 = 0$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: The value 6.5 is correct.

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