MATH100 December 2015
• Q1 (i) • Q1 (ii) • Q1 (iii) • Q1 (iv) • Q2 (i) • Q2 (ii) • Q2 (iii) • Q2 (iv) • Q3 (i) • Q3 (ii) • Q3 (iii) • Q3 (iv) • Q4 (a) • Q4 (b) • Q4 (c) • Q4 (d) • Q5 (a) • Q5 (b) • Q5 (c) • Q5 (d) • Q6 (a) • Q6 (b) • Q6 (c) • Q6 (d) • Q7 • Q8 (a) • Q8 (b) • Q9 • Q10 (a) • Q10 (b) • Q10 (c) • Q10 (d) • Q10 (e) • Q10 (f) • Q10 (g) • Q10 (h) • Q11 (a) • Q11 (b) • Q12 (a) • Q12 (b) • Q12 (c) •
Question 10 (b)
(b) Find the x-intercepts and y-intercepts of the function.
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!
-intercepts are the points where .
-intercept is the point where .
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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Note that the exponential function is always positive thus never becomes 0.
To sum, the function f has two x-intercepts and one y-intercepts: .