For the graph the rational function $y = \frac{x - 1}{x - 2}$ $y=(x-1)/(x-2)$ , which quadrants does the graph pass?

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Answer 1 · 2017-08-10T18:50:31

The quadrants are 1, 2, and 4.

Here is a graph of the function:

graph{y=(x-1)/(x-2) [-10, 10, -5, 5]}

Given: $y = \frac{x - 1}{x - 2}$ $y=(x-1)/(x-2)$

There are 4 regions for x, $x < 0, 0 < x < 1, 1 < x < 2, and x > 2$ $x<0, 0< x <1, 1 <x < 2, and x > 2$

When $x < 0, y > 0$ $x < 0, y > 0$ and this is the 2nd quadrant.

When $0 < x < 1, y > 0$ $0<x<1, y > 0$ and this is the 1st quadrant.

When $, 1 < x < 2, y < 0$ $,1 < x < 2, y < 0$ and this is the 4th quadrant.

When $x > 2, y > 0$ $x > 2, y > 0$ and this is the 1st quadrant.

For the graph the rational function y=x−1x−2y=(x-1)/(x-2), which quadrants does the graph pass?