Using a scale of 2cm to 1 unit on the x- axis and 1cm to 1 unit on the y- axis, draw on the same axes the graphs of $y=3+2x-x^2;y=2x-3$ for $-3\le x\le 4$. Using your graph:
(i) solve the equation $6-x^2=0$;
(ii) find the maximum value of $3+2x-x^2$;
(iii) find the range of x for which $3+2x-x^2\le 1$, expressing all your answers correct to one decimal place.


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