Standard +0.3 This C1 question requires sketching a standard parabola and a reciprocal function, then using the sketch to count intersections. While it involves two curves and connecting graphical reasoning to equation solving, the individual sketches are routine and the intersection counting is straightforward visual analysis—slightly above average due to the multi-step nature but well within standard C1 expectations.
4. (i) Sketch on the same diagram the curves \(y = x ^ { 2 } - 4 x\) and \(y = - \frac { 1 } { x }\).
(ii) State, with a reason, the number of real solutions to the equation
$$x ^ { 2 } - 4 x + \frac { 1 } { x } = 0 .$$
4. (i) Sketch on the same diagram the curves $y = x ^ { 2 } - 4 x$ and $y = - \frac { 1 } { x }$.\\
(ii) State, with a reason, the number of real solutions to the equation
$$x ^ { 2 } - 4 x + \frac { 1 } { x } = 0 .$$
\hfill \mbox{\textit{OCR C1 Q4 [6]}}