Friday

April 18, 2014

April 18, 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

**Related Questions**

Algebra/Pre-Calc - Find the values for a and b such that f(x) is continuous on ...

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

Calculus - If f(x) is a continuous function, find the constants a and b such ...

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

calculus - Find the constants a & b such that the function f(x)={2 if ≤ -1...

math - Use a graph to determine whether the given function is continuous on its ...

calculus - The region R is defined by 1(</=)x(</=)2 and 0(</=)y(</=)...

Calculus - Solve the following initial value problem and determine the interval ...

calculus - f(x)=5x-4 if 0<x<=1 ,f(x)=4x^2-3X if 1<x<2.So that f(x)is...

calculus - Find so that the following function is continuous on any interval: f(...