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Which graph represents the function f (x) = StartFraction 2 x minus 1 Over x minus 1 EndFraction?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 3 and 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 3, 4, and 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the left in quadrant 2, and the other curve opens down and to the right in quadrants 4 and 1.


Sagot :

The correct description of the graph:

"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4."

Which graph is the graph of the given functions?

Here we have the function:

[tex]f(x) = \frac{2x - 1}{x - 1}[/tex]

The graph of this function can be seen below:

Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).

Then the correct option is:

"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in quadrants 2, 1, and 4."

If you want to learn more about rational functions:

https://brainly.com/question/1851758

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View image Facundo3141592

Answer:

Graph D

Step-by-step explanation: