AQA FP1 2010 June — Question 7

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2010
SessionJune
TopicPartial Fractions
TypeCurve sketching with asymptotes

7
    1. Write down the equations of the two asymptotes of the curve \(y = \frac { 1 } { x - 3 }\).
    2. Sketch the curve \(y = \frac { 1 } { x - 3 }\), showing the coordinates of any points of intersection with the coordinate axes.
    3. On the same axes, again showing the coordinates of any points of intersection with the coordinate axes, sketch the line \(y = 2 x - 5\).
    1. Solve the equation $$\frac { 1 } { x - 3 } = 2 x - 5$$
    2. Find the solution of the inequality $$\frac { 1 } { x - 3 } < 2 x - 5$$ □
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