# Solve questions on factoring polynomial and asymptotes

A. Can the graph of a rational function have both a horizontal and a vertical asymptote? Give an example to support your answer.

B. Can the graph of a rational function ever cross a vertical asymptote? Why or why not? How about crossing a horizontal asymptote? Why or why not?

C. The cost function for a product is given by C(x) = 3x3 - 6x2 - 300x + 1800, where x is the number of units produce and C is the cost in hundreds of dollars. Use factoring by grouping to find the numbers of units that will give a total cost of $120,000.

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A. Can the graph of a rational function have both a horizontal and a vertical asymptote? Give an example to support your answer.

Answer: Yes, the graph of a rational function can have both asymptotes. A simple example is y=1/x which has vertical asymptote x=0 and horizontal asymptote y=0.

B. Can the graph of a rational ...

#### Solution Summary

The solution gives detailed steps on solving questions on factoring polynomial and asymptotes. The cost function for a project is provided.