Which graph represents the function f(x)=3x-2/x-2

ANSWER

The last graph is the correct answer

EXPLANATION

The function,
is a rational function.

This rational function has a vertical asymptote

at where the denominator is zero.

That is,


This means that, the vertical asymptote occurs at



The graph also has a horizontal asymptote at,



Thus, the horizontal asymptote occurs at


At x-intercept,


This implies that,









The graph cuts the x-axis at,



At y-intercept,



This implies that,



The graph cuts the y-axis at,



The graph that satisfy all the above conditions is the last one.

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