Answer :

Given the function:

[tex]f(x)=x^2-2x-3[/tex]

Let's determine the holes in the function.

The holes in a graph can be said to exist when the function of the graph is a rational function at any given input(value of x) where the numerator and denominator equal to zero.

The given function is not a rational function so it does not have any hole.

Therefore, we can say there are no holes in the given function because it does not have any fraction with variables in the denominator.

ANSWER:

No holes exist in the given function,