Monday

December 22, 2014

December 22, 2014

Posted by **sara** on Friday, October 15, 2010 at 10:05pm.

Please and thank you

- calculus -
**MathMate**, Friday, October 15, 2010 at 10:23pmThe intermediate value theorem states that a function f(x) continuous on the interval [a,b] takes on every value between f(a) and f(b).

In the given case, a=-1, b=1, f(a)=4, and f(b)=3. π=3.14159.... lies between 4 and 3.

Therefore the statement "there exists a number r such that |r| < 1 and f(r) = π" is ______.

See also your previous question:

http://www.jiskha.com/display.cgi?id=1287182780

**Answer this Question**

**Related Questions**

Calculus - Explain, using the theorems, why the function is continuous at every ...

Calculus - is there a number a such that the lim x->2 6x^2+ax+a+57/x^+x-6 ...

calculus - If f(1) > 0 and f(3) < 0, then there exists a number c between ...

Calculus - True or false: a) if f(x) is continuous at a, then the limit of f(x) ...

Calculus - use the intermediate value theorem to prove that every real number ...

Calculus - Let f be defined as follows, where a does not = 0, f(x) = {(x^2 - 2a...

real analysis - Hello. I want make sure im doing right step. Prove the supremum...

Calculus (Limits) - Let f be defined as follows, where a does not = 0, f(x) = {(...

calculus - (a) Find the number c such that the limit below exists. Limit as x ...

Calculus - COnsider g(x)=(8)/(x-6) on (6,13) (a) Is this function continuous on ...