Mathematics 4024 · O Level · Graphs of functions

Graphs of functions — practice question

The graph of $y=\frac{x^3}{5}-3x+2$ has been plotted on the grid.

(a)[2]

By drawing a tangent, estimate the gradient of the curve at $x=-1$.

(b)[3]

Find the solutions of the equation $\frac{x^3}{5}-3x=0$ by drawing a suitable straight line on the graph.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Tangent drawn at $x=-1$” …