Science:Math Exam Resources/Courses/MATH110/April 2013/Question 03 (b)
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Question 03 (b) 

Let on the interval . In this question you will sketch this function. (b) Find the vertical asymptotes of ƒ, if any exist. 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Recall that is a candidate for a vertical asymptote only if has a discontinuity at , so that there is a chance that tends to or as approaches . 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The functions and are both continuous everywhere. Further, the function in the denominator, , is never 0. Hence is continuous everywhere and thus there are no vertical asymptotes. 