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Nonlinear Functions

SAT Math· difficulty 4/5

What is the vertical asymptote of y=x2−4x−2y = \frac{x^2 - 4}{x - 2}?

  • A

    x=2x = 2

  • B

    x=0x = 0

  • C

    x=−2x = -2

  • D

    There is no vertical asymptote

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Explanation

Factor: (x−2)(x+2)x−2=x+2\frac{(x - 2)(x + 2)}{x - 2} = x + 2 for x≠2x \neq 2. There's a hole at x=2x = 2, not an asymptote.

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