Moderate -0.8 This question requires finding a straightforward composite function gf(x) = |1-x| and sketching two simple graphs (a linear function and a V-shaped absolute value function). The composition involves only direct substitution with no algebraic manipulation, and the sketches are of standard function types that students should recognize immediately. This is below average difficulty for A-level.
3 Given that \(\mathrm { f } ( x ) = 1 - x\) and \(\mathrm { g } ( x ) = | x |\), write down the composite function \(\mathrm { gf } ( x )\).
On separate diagrams, sketch the graphs of \(y = \mathrm { f } ( x )\) and \(y = \mathrm { gf } ( x )\).
3 Given that $\mathrm { f } ( x ) = 1 - x$ and $\mathrm { g } ( x ) = | x |$, write down the composite function $\mathrm { gf } ( x )$.
On separate diagrams, sketch the graphs of $y = \mathrm { f } ( x )$ and $y = \mathrm { gf } ( x )$.
\hfill \mbox{\textit{OCR MEI C3 Q3 [3]}}