Give the equations of any horizontal asymptotes for the graphs of the rational functions.
-$$f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }$$
A) none
B) $y = 1$
C) $\mathrm { y } = 2$
D) $y = - 2$

Question

Quizplus · Accepted Answer

The horizontal asymptote of a rational function can be found by comparing the degrees of the numerator and denominator. If they are the same, the horizontal asymptote is the ratio of the leading coefficients. Here, both the numerator and denominator are of degree 2, with leading coefficients of 7. Thus, the horizontal asymptote is $y = \frac{7}{7} = 1$.

Give the Equations of Any Horizontal Asymptotes for the Graphs f(x)=7x2+27x2−2f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }f(x)=7x2−27x2+2​

Give the Equations of Any Horizontal Asymptotes for the Graphs $f ( x ) = \frac { 7 x ^ { 2 } + 2 } { 7 x ^ { 2 } - 2 }$