Which statement describes whether the function f of x is equal to the fraction with numerator 8 times open paren x minus 1 close paren squared and denominator open paren x minus 8 close paren squared has a vertical asymptote at x is equal to 8 ?

As x approaches 8, the numerator 8(x − 1)² approaches 8(7)² = 392, which is positive. The denominator (x − 8)² approaches 0 while staying positive on both sides of 8, so f(x) grows without bound from the left and the right. Therefore, x = 8 is a vertical asymptote; choice B correctly describes this.

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