Question

question 5 · 1 point
what is the horizontal asymptote of the graph of $f(x)=\frac{8x^{2}+7}{7x^{2}+x}$?
give your answer in the form $y = a$.
provide your answer below:

Explanation:

Step1: Identify degrees of polynomials

The degree of numerator $8x^{2}+7$ is 2, and of denominator $7x^{2}+x$ is 2.

Step2: Use horizontal - asymptote rule

When degrees of numerator and denominator are equal, horizontal asymptote $y$ is ratio of leading - coefficients. Leading coefficient of numerator is 8 and of denominator is 7. So $y = \frac{8}{7}$.

Answer:

$y=\frac{8}{7}$