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Question
question
find all horizontal asymptotes of the following function.
f(x)=\frac{2 x+10}{x^{2}+3 x-10}
answer attempt 1 out of 2
one horizontal asymptote
no horizontal asymptotes
one horizontal asymptote
two horizontal asymptotes
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Step1: Determine the degrees of numerator and denominator
The degree of the numerator \(2x + 10\) (highest power of \(x\)) is \(n = 1\). The degree of the denominator \(x^{2}+3x - 10\) is \(m=2\).
Step2: Apply the rule for horizontal asymptotes
When \(n
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One Horizontal Asymptote (\(y = 0\))