9758/2019/P1/Q04

(i) Sketch the graph of $y=\left|2^{x}-10\right|$, giving the exact values of any points where the curve meets the axes.

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(ii) Without using a calculator, and showing all your working, find the exact interval, or intervals, for which $\left|2^{x}-10\right| \leqslant 6$. Give your answer in its simplest form.

[3]