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