Answer
$(a)$
Work Step by Step
There can only be at most $1$ $y$-intercept, at $x=0$ for which the function has a unique value or is undefined.
However, a function may have two or more $x$-intercepts (e.g., $f(x)=x^2-4$ has $x$-intercepts at $2$ and $-2$) .
Hence, the answer is $(a)$.