A vertical asymptote is a vertical line that guides the graph of a function but is not part of it. The graphs never intersect because they occur at x-values that are not in the domain of the function.
To find the vertical asymptote, set the denominator to zero and solve for x. This is already factored in, so just set each factor to zero and solve. Since the asymptote is a straight line, we write it as a straight-line equation. The vertical asymptote is at x = 3 and x = 1.
A vertical asymptote is a vertical line that traces the graph of a function but is not part of it. The graphs never intersect because they occur at x-values that are not in the domain of the function.
A vertical asymptote indicates where the function has no domain. Solve the vertical asymptote equation by setting the denominator of the fraction to zero. The horizontal asymptote, on the other hand, shows what happens to the curve when the x-value becomes very large or very small.
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