The graph of $y=x^3-3x$ is shown for $-2\le x\le2$. Write down the equation of the straight

Question

The graph of $y=x^3-3x$ is shown for $-2\le x\le2$. Write down the equation of the straight line that can be drawn with this curve to solve $x^3-2x-1=0$.[1] Draw that line and use the intersections to estimate all the solutions to 1 decimal place.[3]

Accepted Answer

(a) $y=1-x$. (b) $x\approx-1.0,-0.6,1.6$ (accept ±0.1).

Choosing a line for a cubic equation

Choosing a line for a cubic equation

Solution:

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