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Hello everyone. This article will help you find the answer to the question “which of the following rational functions is graphed below”. Let’s follow our steps!

## Question: which of the following rational functions is graphed below

Here is our question:

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## Answer

To do this question, we will follow the method of substitution and exclusion. According to the problem, we have VA: x=2, so the denominator we need to find will be x-2, so we eliminate answers B, D

Substituting the coefficient into formula A we have -1/1=-1 (Remove)

So the correct answer is C

## Relevant knowledge

Steps to examine functions in rational form:

1) Find the definite set.

2) Find the limits and asymptotes.

3) Considering the direction of variation:

+ Find y’. Solve the equation y’=0

+ Set up the variation table.

+ Infer monotonous intervals and extreme points.

4) Graphing:

+ Get special values.

+ Draw asymptotes, special points and graph functions.

+ Comment on the characteristics of the graph.

Graphs of univariate functions y = (ax + b)/(cx + d),(ab – bc ≠ 0) are univariate graphs that always accept the intersection of two asymptotic lines as the center of symmetry.

## Conclusion

The above article has helped you find the answer to the question “which of the following rational functions is graphed below”. thanks for reading and see you next time!

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