Given the function:

The end behaviour of the function f(x) describes the behaviour of the function as x approaches +∞ and -∞.
When x approaches +∞,

Thus, as x approaches +∞, the function f(x) approaches zero.
When x approaches -∞,

Thus, as x approaches -∞, the function f(x) approaches zero.
x-value of the hole:
For a rational function f(x) given as

Provided that p(x) and q(x) have a common factor (x-a), the function f(x) will have a hole at x=a.
Thus, from the function f(x)

by expansion, we have

The expression (x-1) is a common factor of the numerator and the denominator.
Thus,

Hence, the x-value of the hole is 1.