Which graph represents the function

Hi! To quickly know what graph represents the given function, we just take a look at the intercepts and possible undefined values. We know that the denominator can't be zero so -1 should never be a value of x. For the y-intercept, we get -4 upon setting all x variables to zero. On the other hand, for the x-intercept, we will get 2 upon factoring the equation.

Among your given choices, option 4 closely resembles this definition. We cannot view if x = -1 is undefined on the graph since we can't see it but that option is the most accurate among all of them.

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