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Use the following vertical asymptotes to determine the denominator of the rational function: x = -8, x = 2...

Use the following vertical asymptotes to determine the denominator of the rational function:
x = -8, x = 2
a. (x - 8)(x + 2)
b. (x + 8)(x + 2)
c. (x - 8)(x - 2)
d. (x + 8)(x - 2)

Answer

The vertical asymptotes occur where the denominator is zero. Given the asymptotes x = -8 and x = 2, the factors of the denominator must be (x + 8) and (x - 2). Therefore, the correct denominator is:

  1. d. (x + 8)(x - 2)

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