Let functions $f$ and $g$ be defined by $f(x) = 2 - 3\sin 2x$ for $0 \leq x \leq \pi$, and by $g(x) = -2f(x)$ for $0 \leq x \leq \pi$.
(a)[3]
State the range of each of $f$ and $g$.
(b)[2]
Sketch the graph of $y = g(x)$ on this diagram.
(c)[3]
Given that $h(x) = g(x + \pi)$ for $-\pi \leq x \leq 0$, describe fully a sequence of transformations that takes the curve $y = f(x)$ to $y = h(x)$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the domain of $f(x)$ as $[-1,5]$.” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI