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2 2. A rational function has the form f (x) = - ax - where a is a non-zero real number and n is a

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2 2. A rational function has the form f (x) = - ax - where a is a non-zero real number and n is a x"-5 positive integer. a) Are there any values of a and n for which the function above will have no vertical asymptotes? Explain why by providing examples and showing work. Use terminology learned in this unit. (2 marks) b) Are there any values of a and n for which the function above will have a horizontal asymptote? Explain why by providing examples and showing work. Use terminology learned in this unit. (2 marks)1. Sketch a possible graph of a function that satisfies all of the conditions below. Where there is a [ ] enter a value. Explain how each condition is satisfied to get full marks. (6 marks) x-intercept at ([ ], 0) vertical asymptote at x= [ ] . As X - , y - [ ] f(1) = [ ] the function is never increasing . the function is Even / Odd - (circle your choice)

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