Final answer:
The vertical asymptote is none and the horizontal asymptote is y=0.
Step-by-step explanation:
The function y=4/x² can be rewritten as y=4x^(-2). To find the vertical asymptote, we set the denominator equal to zero and solve for x. In this case, x^2=0 has no real solutions, so there is no vertical asymptote.
To find the horizontal asymptote, we need to examine the behavior of the function as x approaches positive infinity and negative infinity. As x approaches positive infinity, the value of y=4x^(-2) approaches zero. As x approaches negative infinity, the value of y=4x^(-2) also approaches zero. Therefore, the horizontal asymptote is y=0.