Science:Math Exam Resources/Courses/MATH220/April 2005/Question 01

From UBC Wiki


MATH220 April 2005

  •  Q1  •  Q2  •  Q3 (a)  •  Q3 (b)  •  Q3 (c)  •  Q4  •  Q5  •  Q6  •  Q7  •  Q8  •  Q9  •  Q10  •  Q11  •  

   Other MATH220 Exams
  •  April 2011  •  April 2005  •  December 2011  •  December 2010  •  December 2009  •  

Question 01

The Intermediate Value Theorem states:

For any real numbers a < b, and for any function
Failed to parse (syntax error): {\displaystyle f: [a,b] \to \mathbb{R},}
if f is continuous on the interval [a,b ], then for every real number y between f(a) and f(b), there exists a real number c in the interval [a,b ] such that f(c)=y.

Write down the negation of this statement. (Don't worry that the negation will be a false statement - just negate the statement correctly).

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 hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint.



Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

  • If you are stuck on a problem: Read the solution slowly and as soon as you feel you could finish the problem on your own, hide it and work on the problem. Come back later to the solution if you are stuck or if you want to check your work.
  • If you want to check your work: Don't only focus on the answer, problems are mostly marked for the work you do, make sure you understand all the steps that were required to complete the problem and see if you made mistakes or forgot some aspects. Your goal is to check that your mental process was correct, not only the result.




Click here for similar questions
MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Logic, Pages using DynamicPageList3 parser function, Pages using DynamicPageList3 parser tag, Pages with math errors, Pages with math render errors
lightbulb image
Math Learning Centre
  • A space to study math together.
  • Free math graduate and undergraduate TA support.
  • Mon - Fri: 12 pm - 5 pm in LSK 301&302 and 5 pm - 7 pm online.

Private tutor