# Intermediate Value Property

1. Jun 23, 2016

### KF33

1. The problem statement, all variables and given/known data
I need to show the attached function satisfies the Intermediate Value Property.

2. Relevant equations

3. The attempt at a solution
I looked at the property definition, but I am really unsure what is being stated. I think if I knew what the property was stating, I could do the problem.

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2. Jun 23, 2016

### mathwonk

a function has the IV property if the image of every interval is an interval. i.e. if for every interval [x1,x2] in the domain, the set of values f(x), for all x with x1 ≤ x ≤ x2, is also an interval.

3. Jun 23, 2016

### KF33

Is it enough to say an interval could be [-10,0]. Then I select x1 to be -9 and x2 to be -1. f(x1)=-.412 and f(x2)=-.841. I look and select k to be between those and find a c value which f(c)=k.

4. Jun 23, 2016

### SammyS

Staff Emeritus
That's a single example, well, not even a complete example. Definitely not a proof.