(a(i))[3]
Find the values of the constants $a$ and $b$.
(a(ii))[2]
Evaluate $f f(0)$.
(b)[3]
Find the values of the constants $c$ and $d$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The function $f$, given by $f : x \mapsto a + b\sin x$ for $x \in \mathbb{R}$, satisfies $f\left(\frac{\pi}{6}\right) = 4$ and $f\left(\frac{\pi}{2}\right) = 3$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Sets up correct simultaneous equations from the trigonometric values.” …
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