The graph of the function shows a vertical asymptote at x = 2. The function does not exist for x <= 2, so there is no end behavior from the left side.
We can also see the function decreases without limit when x approaches positive infinity. Taking a look at the expression of the function, we can corroborate that the end behavior when x approaches positive infinity is negative infinity.
Thus:
End behavior when x approaches negative infinity: Does not exist
End behavior when x approaches positive infinity: Negative infinity
