What is the vertical asymptote of the rational function ?
Answer and explanation
Correct answer: D.
.
Checking the numerator at : . Thus, the vertical asymptote is .
Checking the numerator at : . Thus, the vertical asymptote is .
- Step 1: For a rational function in lowest terms, vertical asymptotes occur at the zeros of the denominator where the numerator is non-zero.
- Step 2: Set the denominator equal to zero and solve for :
Answer
.
Why not the others: The equations and represent incorrect root solutions, while is a horizontal asymptote rather than a vertical asymptote.
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