Math AA SL: Rational Functions

#MAASL00054

[Maximum Mark: 6]



The line  is a vertical asymptote to the graph of 

a) Find the value of 

b) The graph has a  intercept at 

Find the value of 

c) The graph has a  intercept at 

Find the equation of the horizontal asymptote of the graph of .

Detailed Answer/Video Explanations Answer

#MAASL00055

[Maximum Mark: 4]

, 
where  cannot equal 0 or 

a) The line  is the vertical asymptote. 
Find 

b) Write the equation of the horizontal asymptote

Detailed Answer/Video Explanations Answer

#MAASL00225

[Maximum Mark: 4]

, 
where  cannot equal 0 or 

a) The line  is the vertical asymptote. 
Find 

b) Write the equation of the horizontal asymptote

Detailed Answer/Video Explanations Answer

#MAASL00226

[Maximum Mark: 6]



The line  is a vertical asymptote to the graph of 

a) Find the value of 

b) The graph has a  intercept at 

Find the value of 

c) The graph has a  intercept at 

Find the equation of the horizontal asymptote of the graph of .

Detailed Answer/Video Explanations Answer

#MAASL00227
[Maximum Mark: 8]

Consider the function 

a) What are the equations for the vertical and horizontal asymptotes of function .

b) The two asymptotes intersect at the point . Find the value of .

c) The two asymptotes for graph  intersect at the point . The point  is on the graph of . Show that 

Detailed Answer/Video Explanations Answer

#MAASL00228
[Maximum Mark: 8]

Consider the function 

a) What are the equations for the vertical and horizontal asymptotes of function .

b) The two asymptotes intersect at the point . Find the value of .

c) The two asymptotes for graph  intersect at the point . The point  is on the graph of . Show that 

Detailed Answer/Video Explanations Answer

#MAASL00229

[Maximum Mark: 11]

Consider the functions:  ; .

Additionally, let , which has a horizontal asymptote at 

a) What is ?

b) Show that 

c) Find the y-intercept of .

d) i) Find the x-intercept of 

ii) What is the equation for the vertical asymptote of ?

e) If , find the value of 

Detailed Answer/Video Explanations Answer

#MAASL00230

[Maximum Mark: 11]

Consider the functions:  ; .

Additionally, let , which has a horizontal asymptote at 

a) What is ?

b) Show that 

c) Find the y-intercept of .

d) i) Find the x-intercept of 

ii) What is the equation for the vertical asymptote of ?

e) If , find the value of 

Detailed Answer/Video Explanations Answer

#MAASL00231

[Maximum Mark: 4]

, 
where  cannot equal 0 or 

a) The line  is the vertical asymptote. 
Find 

b) Write the equation of the horizontal asymptote

Detailed Answer/Video Explanations Answer

#MAASL00232

[Maximum Mark: 6]



The line  is a vertical asymptote to the graph of 

a) Find the value of 

b) The graph has a  intercept at 

Find the value of 

c) The graph has a  intercept at 

Find the equation of the horizontal asymptote of the graph of .

Detailed Answer/Video Explanations Answer