Which statement correctly interprets this limit? limit x to plus or minus infinity of the fraction with numerator 28 x minus 10 x squared and denominator 4 x squared minus 1

For a rational function whose numerator and denominator have the same degree, the limit as x approaches positive or negative infinity is the ratio of the leading coefficients. Here that ratio is −10/4 = −5/2, so the function approaches −5/2 at both ends. This means it has a horizontal asymptote at y = −5/2, which is choice C.

AI-written and checked against the verified answer.