Question 5
The function $f$ is given by $f(x)=A \cdot \cos \left(x+\frac{\pi}{6}\right)$. Determine $A \in \mathbb{R}$ such that $f\left(-\frac{\pi}{3}\right)=-\sqrt{3}$. For the function $f$ determined in this way, write down its range and sketch its graph.