Find the horizontal asymptote of the graph of R(x) = (8x^4 - 4x + 4)/(-9x^2 + x + 4)?Question 38Answera.y = 0b.no horizontal asymptotec.y = 2d.y = -8/9
Question
Find the horizontal asymptote of the graph of R(x) = (8x^4 - 4x + 4)/(-9x^2 + x + 4)?
Question 38
Answer
a. y = 0
b. no horizontal asymptote
c. y = 2
d. y = -8/9
Solution
To find the horizontal asymptote of the function R(x) = (8x^4 - 4x + 4)/(-9x^2 + x + 4), we need to look at the degrees of the polynomials in the numerator and the denominator.
The degree of the polynomial in the numerator is 4 (from the term 8x^4) and the degree of the polynomial in the denominator is 2 (from the term -9x^2).
When the degree of the polynomial in the numerator is greater than the degree of the polynomial in the denominator, there is no horizontal asymptote. So, the answer is b. no horizontal asymptote.
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