The diagram shows the graph of $$$y=\mathrm{f}(x)$$$ for $$$-3 \leqslant x \leqslant 3$$$. By drawing a suitable straight line on the grid, solve $$$\mathrm{f}(x)=2 x-2$$$ for $$$-3 \leqslant x \leqslant 3$$$. $$\[ x= ............................................ \]$$

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_w20_qp_41 Year：2020 Question No：5(a)(iii)

Answer:

$y=2 x-2$ ruled
and $x=-2.9$ to $-2.8$ cao

Knowledge points:

E2.11.1

E2.11.2 Solve associated equations approximately, including finding and interpreting roots by graphical methods. (Find turning points of quadratics by completing the square.)

E2.11.3 Draw and interpret graphs representing exponential growth and decay problems.

E2.11.4 Recognise, sketch and interpret graphs of functions. (Linear, quadratic, cubic, reciprocal and exponential.) (Knowledge of turning points and asymptotes is required.)

Solution:

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The diagram shows the graph of $$\(y=\mathrm{f}(x)\)$$ for $$\(-3 \leqslant x \leqslant 3\)$$. By drawing a suitable straight line on the grid, solve $$\(\mathrm{f}(x)=2 x-2\)$$ for $$\(-3 \leqslant x \leqslant 3\)$$. $$\[ x= ............................................ \]$$

Answer:

Knowledge points:

Solution:

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