The diagram shows the graph of $$\(y=\mathrm{f}(x)\)$$ for $$\(-4 \leqslant x \leqslant 12\)$$ The point $$\(P\)$$ on the curve has $$\(x\)$$ coordinate 2 (a) (i) Use the graph to find an estimate for the gradient of the curve at $$\(P\)$$. (3) (ii) Hence find an equation of the tangent to the curve at $$\(P\)$$. Give your answer in the form $$\(y=m x+c\)$$ (2) The equation $$\(\mathrm{f}(x)=k\)$$ has exactly two different solutions for $$\(-4 \leqslant x \leqslant 12\)$$ (b) Use the graph to find the two possible values of $$\(k\)$$. (2)

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