A-LevelFurther MathematicsCurve Sketching (Rational Functions)May/June 2012Paper 1 Q911 Marks
The curve C has equation y = (2x² + 2x + 3) / (x² + 2) Show that, for all x, 1 ≤ y ≤ 2. Find the coordinates of the turning points on C. Find the equation of the asymptote of C. Sketch the graph of C, stating the coordinates of any intersections with the y-axis and the asymptote.
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