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Graph the rational functiony=x^2-3/x-1. Both branches of the rational function pass through which quadrant?Quadrant 2Quadrant 3Quadrant 4Quadrant 1

1 Answer

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Answer:

Quadrant 1

Explanations:

Given the rational function


y=(x^2-3)/(x-1)

From the function, you can see that the vertical asymptotes of the function is at x = 1 (the point where the denominator is zero),

The quadratic numerator also shows that the curves cuts the x-axis at two points as shown in the graph below;

From the graph shown, you can see that the both branches of the function pass through the Quadrant 1. For other quadrants, either one of none of he branches passes through

Graph the rational functiony=x^2-3/x-1. Both branches of the rational function pass-example-1
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