It is given that the curve $C$ has equation \(y=\frac{(2x-1)(1-x)}{x},\mathrm{ }x\in \mathbb{R},\m

Question

It is given that the curve $C$ has equation $y=\frac{(2x-1)(1-x)}{x},\mathrm{ }x\in \mathbb{R},\mathrm{ }x\ne 0.$ Use an algebraic method to find exactly the set of values that $y$ can take.

Accepted Answer

$y \leq 3 - 2\sqrt{2}$ or $y \geq 3 + 2\sqrt{2}$

Graphing Techniques - Finding Possible y-values of a Curve

Graphing Techniques - Finding Possible y-values of a Curve

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