Mathematics 4024 · O Level · Sketching curves

Sketching curves — practice question

Work with the function $y = \frac{x}{5}(6 + 2x - x^2)$.
(a)[1]

Fill in the table for $y = \frac{x}{5}(6 + 2x - x^2)$.

(b)[3]

Sketch the graph of $y = \frac{x}{5}(6 + 2x - x^2)$ for $-3 \le x \le 4$.

(c)[2]

Use a tangent to estimate the gradient of $y = \frac{x}{5}(6 + 2x - x^2)$ at $(-2, 0.8)$.

(d)[3]

Use your graph to solve $x(6 + 2x - x^2) = 10$.

Worked solution & mark scheme

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