The curve $C$ has equation $y=\frac{{{x}^{2}}+3x-1}{x-2}$, $x\in \mathbb{R}$, $x
e 2$. Using an alg

Question

The curve $C$ has equation $y=\frac{{{x}^{2}}+3x-1}{x-2}$, $x\in \mathbb{R}$, $x
e 2$. Using an algebraic method, find the range of values that $y$ can take. [4] Sketch $C$, stating the equations of the asymptotes, axial intercepts and the coordinates of the turning points, if any. [4] State the range of values that $m$ can take such that the equation $\frac{{{x}^{2}}+3x-1}{x-2}=m\left( x-2 ight)+7$ has $2$ distinct solutions, justifying your answer. [2]

Accepted Answer

m > 1

2018 RI Promo Q9

2018 RI Promo Q9

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