MATH110 April 2012
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Question 05 (b)
(b) Find all the x- and y-intercepts of ƒ.
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!
Recall that has a y-intercept when x = 0 and an x-intercept when the function is zero.
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x-intercept: has an x-intercept when . So
Cross multiplying gives , which simplifies to . So the x-intercept is
y-intercept: has an y-intercept when . Plugging in x = 0 gives .
So the y-intercept is the same as the x-intercept,
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