Flashcard 20 - Mathematics: Algebraic Reasoning Flashcard Set for the TSIA2
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There is a vertical asymptote at \(x = -1\).
Explanation:
Rational functions have a vertical asymptote at the point where the denominator of the function equals \(0\). For the function \(y = \frac{3x+5}{x+1}\):
\[x + 1 = 0\] \[x = -1\]There is a vertical asymptote at \(x = -1\) since \(-1\) makes the function value undefined.
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