Exercises for Question Type 4: Finding the asymptotes and intercepts of rational functions of the form f(x)=(ax^2+bx+c)/(dx+e) - IB | RevisionDojo

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Question Type 4: Finding the asymptotes and intercepts of rational functions of the form f(x)=(ax^2+bx+c)/(dx+e)

Question Type 4: Finding the asymptotes and intercepts of rational functions of the form f(x)=(ax^2+bx+c)/(dx+e) Exercises

Question 1

Find the asymptotes and intercepts of the function $f(x)=\frac{5x^2-x+2}{3x+1}$ .

[9]

Question 2

Find the asymptotes and intercepts of the function $f(x)=\frac{7x^2+2x-5}{2x-3}$

[6]

Question 3

Find the asymptotes and intercepts of the function $f(x)=\frac{2x^2+x-3}{x-1}$

[5]

Question 4

Find the asymptotes and intercepts of the function $f(x)=\frac{x^2+2x+5}{x+4}$

[7]

Question 5

Find the asymptotes and intercepts of the function $f(x)=\frac{x^2-x+1}{2x-1}$

[8]

Question 6

Find the asymptotes and intercepts of the function $f(x)=\frac{4x^2-9}{x+3}$

[6]

Question 7

Find the asymptotes and intercepts of the function $f(x)=\frac{x^2-x+2}{x+2}$

[6]

Question 8

Find the asymptotes and intercepts of the function $f(x)=\frac{x^2-4x+3}{x-5}$

[6]

Question 9

Find the asymptotes and intercepts of the function $f(x)=\frac{x^2+3x+2}{x+1}$

[5]

Question 10

Find the asymptotes and intercepts of the function $f(x)=\frac{2x^2-x-3}{x-2}$

[6]

Question 11

Find the asymptotes and intercepts of the function $f(x) = \frac{3x^2+6x+1}{x+1}$

[6]

Question 12

Find the asymptotes and intercepts of the function $f(x)=\frac{6x^2+x-2}{4x+3}$

[6]