f(x)= 5. A rational function has the form ax + bx+ck and a are non-zero real...

  

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f(x)= 5. A rational function has the form ax + bx+ck and a are non-zero real numbers, b and c are real numbers. (a) Give an example of a function of the above form which will have no vertical asymptote. Explain why this function does not have a vertical asymptote. (2 marks) (b) Will the function above always have a horizontal asymptote? Explain why or why not (2 marks) 6. Is it possible for a rational function to pass its horizontal asymptote? If not, explain why. If so, give an example of a rational function that crosses its horizontal asymptote. (2 marks) 7. Explain two ways you know that the graph shown cannot be the graph of the reciprocal of f(x)=(x-2) 4 3 2 1 (2 marks) -10 Ley -2 0 2 4 6 -1 -2 f(x)= 5. A rational function has the form ax + bx+ck and a are non-zero real numbers, b and c are real numbers. (a) Give an example of a function of the above form which will have no vertical asymptote. Explain why this function does not have a vertical asymptote. (2 marks) (b) Will the function above always have a horizontal asymptote? Explain why or why not (2 marks) 6. Is it possible for a rational function to pass its horizontal asymptote? If not, explain why. If so, give an example of a rational function that crosses its horizontal asymptote. (2 marks) 7. Explain two ways you know that the graph shown cannot be the graph of the reciprocal of f(x)=(x-2) 4 3 2 1 (2 marks) -10 Ley -2 0 2 4 6 -1 -2