Step 1:  Your posts in the discussion area should exhibit careful thought and logical reasoning and provide evidence for your position. Each post should be at least one well-developed paragraph (approximately 100 words or more). Use correct spelling, punctuation, and grammar.  Note you will  not be able to see your classmates replies until you make your post.  

Step 2:  Read and reply to the posts of at least two other students for each discussion. Your replies should offer new substantiated ideas or thoughtful questions.

Discussion Questions (please answer both): 

(1)Give an example of a polynomial function that has no real zeros. Explain how you came up with your function.

 

(2) Select one of the following statements. Tell whether the statement is True or False. Then give a well thought out reason for your answer which includes an example of a function which supports your reasoning.

Statement 1: The graph of a rational function cannot have both a vertical asymptote and a horizontal asymptote.

Statement 2: It is not possible to draw a rational functions which does not have a y-intercept.

Statement 3: The graph of a rational function may have more than one horizontal asymptote.

Statement 4: The graph of a rational function can never cross its vertical asymptote.

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