MATH110 April 2011
• Q1 (a) • Q1 (b) • Q1 (c) • Q2 (a) • Q2 (b) • Q3 (a) • Q3 (b) • Q3 (c) • Q4 (a) • Q4 (b) • Q4 (c) • Q5 • Q6 • Q7 (a) • Q7 (b) • Q7 (c) • Q8 (a) • Q8 (b) • Q8 (c) • Q8 (d) • Q8 (e) • Q8 (f) • Q9 •
Question 08 (c)
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!
What is the value of at a y-intercept? How can you use this to find ? Similarly, what is the value of at an x-intercept?
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At a function's x-intercept, its y-value is equal to zero. Thus to find our x-intercepts, we need to set the function equal to 0 and solve for .
We raise both sides by e to cancel the logarithm and get:
So our two x-intercepts are at .
The y-intercept of a function occurs when . Therefore the y-intercept is .
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