AQA Further Paper 1 2021 June — Question 7

Exam BoardAQA
ModuleFurther Paper 1 (Further Paper 1)
Year2021
SessionJune
TopicCurve Sketching
TypeSketch absolute value of function

7 The diagram below shows the graph of \(y = \mathrm { f } ( x ) \quad ( - 4 \leq x \leq 4 )\) The graph meets the \(x\)-axis at \(x = 1\) and \(x = 3\)
The graph meets the \(y\)-axis at \(y = 2\)
\includegraphics[max width=\textwidth, alt={}, center]{8f7a5fc0-6936-4aed-a173-e221bf86e4fd-10_846_854_539_593} 7
  1. Sketch the graph of \(y = | \mathrm { f } ( x ) |\) on the axes below.
    Show any axis intercepts.
    \includegraphics[max width=\textwidth, alt={}, center]{8f7a5fc0-6936-4aed-a173-e221bf86e4fd-10_844_844_1601_598} 7
  2. Sketch the graph of \(y = \frac { 1 } { \mathrm { f } ( x ) }\) on the axes below.
    Show any axis intercepts and asymptotes.
    \includegraphics[max width=\textwidth, alt={}, center]{8f7a5fc0-6936-4aed-a173-e221bf86e4fd-11_844_846_495_603} 7
  3. Sketch the graph of \(y = \mathrm { f } ( | x | )\) on the axes below.
    Show any axis intercepts.
    \includegraphics[max width=\textwidth, alt={}, center]{8f7a5fc0-6936-4aed-a173-e221bf86e4fd-11_848_849_1647_593}