Question

Which graph represents the function f (x) = StartFraction 2 x Over x squared minus 1 EndFraction?

Answer 1

Answer:

Step-by-step explanation:

f(x) = 2 / (x^2 - 1) is better written as

                 2

f(x) = ------------------

         (x - 1)(x + 1)

This is undefined at x = -1 and x = 1; there are vertical asymptotes at x = -1 and x = 1.

The y-intercept is found by letting x = 0; we get

                 2

f(x) = ------------------ = -2    =>    (0, -2)

         (0 - 1)(0 + 1)

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