f of x is equal to the fraction with numerator negative 2 x squared plus 14 and denominator x squared minus 49 Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

At x = 7, the numerator approaches −2(7²) + 14 = −84, a negative number. Just to the right of 7, the denominator (x − 7)(x + 7) is positive but very close to zero, so the function approaches negative infinity. Therefore, the statement “As x approaches 7 from the right, y approaches negative infinity” is correct.

AI-written and checked against the verified answer.