Assignment:
Q1. Can the graph of a rational function have both a horizontal and a vertical asymptote? Give an example to support your answer.
Q2. 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?
Q3. 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.
Provide complete and step by step solution for the question and show calculations and use formulas.