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:

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!