Science:Math Exam Resources/Courses/MATH100/December 2016/Question 01 (c)
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Question 01 (c) |
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Where is continuous? |
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 |
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First, find the domain of the given function. |
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.
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Solution |
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Please rate my easiness! It's quick and helps everyone guide their studies. The domain of the numerator is the whole real line. On the other hand, the denominator must be positive in order for the function to be defined, this means that . Therefore, the domain of the given function is . Then, where the numerator and the denominator are defined, they are continuous – so the given function is continuous on . |