CAIE Further Paper 1 2020 June — Question 1

Exam BoardCAIE
ModuleFurther Paper 1 (Further Paper 1)
Year2020
SessionJune
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCurve Sketching

1 Let \(a\) be a positive constant.
  1. Sketch the curve with equation \(\mathrm { y } = \frac { \mathrm { ax } } { \mathrm { x } + 7 }\).
  2. Sketch the curve with equation \(y = \left| \frac { a x } { x + 7 } \right|\) and find the set of values of \(x\) for which \(\left| \frac { a x } { x + 7 } \right| > \frac { a } { 2 }\).

1 Let $a$ be a positive constant.\\
(a) Sketch the curve with equation $\mathrm { y } = \frac { \mathrm { ax } } { \mathrm { x } + 7 }$.\\
(b) Sketch the curve with equation $y = \left| \frac { a x } { x + 7 } \right|$ and find the set of values of $x$ for which $\left| \frac { a x } { x + 7 } \right| > \frac { a } { 2 }$.\\

\hfill \mbox{\textit{CAIE Further Paper 1 2020 Q1}}