CAIE Further Paper 1 2020 Specimen — Question 7 4 marks

Exam BoardCAIE
ModuleFurther Paper 1 (Further Paper 1)
Year2020
SessionSpecimen
Marks4
TopicCurve Sketching
TypeSolve |f(x)| > k using sketch

7 Th cn \(C\) h s ę tin \(y = \frac { 2 x ^ { 2 } - 3 x - 2 } { x ^ { 2 } - 2 x + 1 }\).
  1. State th eq tin 6 th asm po es \(6 C\).
  2. Shat \(y \leqslant \frac { 25 } { 12 }\) at all \(\dot { p }\) nso C.
  3. Fid b co dia tesb aws tatio ryip ns of \(C\).
  4. Sk tch \(C\), statig th co dia tes 6 ay in ersectio \(6 C\) with th co \(\dot { \mathbf { d } } \mathbf { a }\) te aes ad th asm poes.
  5. Sk tch th cn with eq tin \(y = \left| \frac { 2 x ^ { 2 } - 3 x - 2 } { x ^ { 2 } - 2 x + 1 } \right|\) ad fid th set 6 les \(6 x\) fo wh ch \(\left| \frac { 2 x ^ { 2 } - 3 x - 2 } { x ^ { 2 } - 2 x + 1 } \right| < 2\)
    [0pt] [4] If B e th follw ig lin dpg to cm p ete th an wer(s) to ay q stin (s), th q stin \(\mathrm { m } \quad \mathbf { b } \quad \mathrm { r } ( \mathrm { s } )\) ms tb clearlys n n