Mathematics 4024 · O Level · Graphs of functions

Graphs of functions — practice question

Given $y=x^3-4x^2+12$.
(a)[1]

Complete the table for the function $y=x^3-4x^2+12$.

(b)[4]

Sketch the graph of $y=x^3-4x^2+12$ for $-2\le x\le 4$.

(c)[1]

From your graph, solve the equation $x^3-4x^2+12=0$.

(d)[4]

Use a suitable line drawn on the grid to find the roots of the equation $x^3-4x^2+x+4=0$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The required value is $12$.

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