Answer
y-intercept: $0 \text{ or }1$
x-intercept: at least $0$ (can be infinitely many)
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 but the function might have any number of x-intercepts (at least $0$ up to infinity (e.g. $\sin{x}$).