15 ### Determining Horizontal AsymptotesTo find the horizontal asymptote of the function \( h(x) = \frac{3x^2 + 3}{x^2 + 4} \), consider the degrees of the polynomial in the numerator and the polynomial in the denominator.The degrees of both the numerator and the denominator are equal (each is a quadratic polynomial).When the degrees of the numerator and the denominator are the same, the horizontal asymptote is found by dividing the leading coefficients. For the function \( h(x) = \frac{3x^2 + 3}{x^2 + 4} \), the leading coefficient of the numerator (3x²) is 3 and the leading coefficient of the denominator (x²) is 1.So, the horizontal asymptote is:\[ y = \frac{3}{1} = 3 \]### Multiple Choice QuestionChoose the correct horizontal asymptote of \( h(x) = \frac{3x^2 + 3}{x^2 + 4} \)- \( y = 1 \)- \( \text{none} \)- \( y = 0 \)- \( y = 3 \) The correct answer is: \( y = 3 \).---For more assistance, please feel free to reach out through our "Ask for Help" feature._© 2007, 2009, 2011, 2012, 2013, 2014, 2016 Glynlyon, Inc._

Name: 15 ### Determining Horizontal AsymptotesTo find the horizontal asympto
Uploaded: 2024-03-20T07:06:41.000Z
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Description: 15 ### Determining Horizontal AsymptotesTo find the horizontal asymptote of the function \( h(x) = \frac{3x^2 + 3}{x^2 + 4} \), consider the degrees of the polynomial in the numerator and the polynomial in the denominator.The degrees of both the nume