For the graph the rational function #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=(x-1)/(x-2)#

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

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

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

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

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