Let $\mathbb{R}$ denote the set of all real numbers. Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be defined by
$
f(x)=\left\{\begin{array}{cc}
\frac{6 x+\sin x}{2 x+\sin x} & \text { if } x \neq 0 \\
\frac{7}{3} & \text { if } x=0
\end{array}\right.
$
Then which of the following statements is (are) TRUE?
