Mathematics 4024 · O Level · Graphs of functions

Graphs of functions — practice question

(a)[1]

Finish the table for $y = \frac{x}{4}(2x^2 - x - 10)$.

(b)[3]

Plot the graph of $y = \frac{x}{4}(2x^2 - x - 10)$ for $-3 \leq x \leq 3$.

(c)[2]

The equation $\frac{x}{4}(2x^2 - x - 10) = k$ has exactly two solutions. Use your graph to identify the possible values of $k$.

(d)[4]

Using a suitable line on the grid, find the solutions of $2x^3 - x^2 - 10x = 2x - 4$.

Worked solution & mark scheme

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