Answer
A function can only have a maximum of one y-intercept.
Work Step by Step
Remember that a function is a relation where every x-value is paired with only one y-value.
$\\\\$If a relation has two or more y-intercepts (e.g., (0,1) and (0,3)), it means that the x-value 0 is paired with more than one y-value. This means then that the relation is not a function.
$\\\\$Thus, a function can only have a maximum of one y-intercept.