The graph behavior of the function that satisfied the conditions given are:
Horizontal asymptote at y = 0.
Vertical asymptotes at x = -1 and x = 1.
<h3>What are the asymptotes of a function f(x)?</h3>
The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, or values of x for which the value of the limit goes to infinity.
The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity, that is, the limit of f(x) as x goes to infinity.
Hence, for this problem, the graph behavior is given by the following asymptotes:
