Posted by **sara** on Friday, October 15, 2010 at 6:46pm.

If f(1) > 0 and f(3) < 0, then there exists a number c between 1 and 3 such that f(c) = 0. Is this true or false?

Please and thank you

- calculus -
**bobpursley**, Friday, October 15, 2010 at 7:11pm
Absolutely true, uuuuhhh, if f(x) is continuous.

- calculus -
**sara**, Friday, October 15, 2010 at 8:29pm
Can you please explain why it is true

Please and Thank you

- calculus -
**bobpursley**, Friday, October 15, 2010 at 8:40pm
If the curve is continuous, and at x=1 f(x) is positive, and at x=3, f(x) is negative, somewhere it crossed the axis.

## Answer this Question

## Related Questions

- calculus - If f is continuous on [-1, 1] and f(-1) = 4 and f(1) = 3, then there ...
- math - can someone correct this for me... solve: -4(2x - 3) = -8x + 5 my answer...
- math- Calculus - If lim x->6 f(x)g(x) exists, then the limit must be f(6)g(6...
- calculus - Determine whether the statement is true or false. If it is true, ...
- Physics Please check my answers - 1. Complete reflection is the special case of ...
- Calculus - True or false. 1. If F'(x) = G'(x) on the interval [a,b] then F(b)-F(...
- HEALTH HELP PLEASE!! - Fats help maintain your cell membranes. (1 point) True ...
- Calculus - True or false: a) if f(x) is continuous at a, then the limit of f(x) ...
- Chemistry: Answer check please! - 1. Reactions follow the law of conservation of...
- Basic economic True or False questions? - UGHHHHH I CANNOT FIND THESE ANSWERS ...