Explore BrainMass

# Solve questions on factoring polynomial and asymptotes

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.

© BrainMass Inc. brainmass.com March 5, 2021, 1:48 am ad1c9bdddf
https://brainmass.com/math/basic-algebra/solve-questions-factoring-polynomial-asymptotes-623152

#### Solution Preview

Please check attachment

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.

\$2.49