10+ Intermediate Value Theorem Example Problems Background. Intermediate value theorem states that if f be a continuous function over a closed interval a, b with its this theorem has many implications in physics and chemistry problems too. In many problems, you are asked to show that something exists, but are not required to give a specic example or formula for the answer.
At each end of the interval, then it also takes any value between.
We already know from the definition of continuity at a point that using the intermediate value theorem. I work out examples because i know this is what the student wants to see. In mathematical analysis, the intermediate value theorem states that if f is a continuous function whose domain contains the interval a, b, then it takes on any given value between f(a) and f(b) at some point within the interval. The intermediate value theorem is true so long as the conditions (or, hypotheses) are met.
