School of International Liberal Studies
MI206 Final Examination (Part 2) Spring 2022
• This is the Final Examination (Part 2) for the Spring 2022 Semester. There is also the
Final Examination (Part 1) for the Spring 2022 Semester.
• This examination contains a cover page and 1 page with exam questions.
• There are two questions.
• When you submit your answers, you are required to include your workings too, i.e., show
how you arrived at your answers. Even if your answer is correct, if you do not show your
workings, you will get a partial credit only.
Question 1. Assume that f(1) = −5, and f(3) = 5. Does there have to be a value of x, between 1 and
3, such that f(x) = 0? Why or why not?
Question 2. Find two numbers whose difference is 100 and whose product is a minimum.
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