Final answer:
The vertical asymptote(s) do not exist, and the horizontal asymptote is y = +∞.
Step-by-step explanation:
To find the vertical asymptotes of a function, we need to determine the values of x for which the function becomes undefined. In this case, the function f(x) = x² + 3 - x is a polynomial, and polynomials are defined for all real numbers. Therefore, there are no vertical asymptotes (x = does not exist).
To find the horizontal asymptotes, we need to examine the behavior of the function as x approaches positive and negative infinity.
Since the function is a quadratic with a positive leading coefficient (x² term), the graph of the function opens upward and approaches positive infinity as x goes to positive infinity. Therefore, the horizontal asymptote is y = +∞.