Posted by **Abigail** on Sunday, February 6, 2011 at 3:36pm.

Sorry...

Consider the function f(x) = 8.5 x − cos(x) + 2 on the interval 0 ¡Ü x ¡Ü 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c) = k for which values of c and k? Fill in the following mathematical statements, giving an interval with non-zero length in each case.

For every k in ____ ¡Ü k ¡Ü___ ,

there is a c in 0 ¡Ü c ¡Ü 1

such that f(c) = k.

- Calculus -
**Abigail**, Sunday, February 6, 2011 at 4:25pm
Sorry...

Again...

Before I posted the question, I could see the symbols...

Consider the function f(x) = 8.5 x − cos(x) + 2 on the interval 0 less than or equal to x less than or equal to 1. The Intermediate Value Theorem guarantees that there is a value c such that f(c) = k for which values of c and k? Fill in the following mathematical statements, giving an interval with non-zero length in each case.

For every k in ______ less than or equal to k less than or equal to ______ ,

there is a c in 0 less than or equal to c less than or equal to 1

such that f(c) = k.

- Calculus -
**MathMate**, Sunday, February 6, 2011 at 4:54pm
"Consider the function f(x) = 8.5 x − cos(x) + 2 on the interval 0 less than or equal to x less than or equal to 1.

The Intermediate Value Theorem guarantees that there is a value c such that f(c) = k for * 0≤c≤1 and f(0)≤k≤f(1), if f(1)≥f(0), and f(0)≥k≥f(1) if f(1)<f(0)."
*

In this case, f(0)<f(1), so the first case applies.

P.S.

If you have difficulties getting the symbols, you have one of the two options:

1. For Firefox, goto view/character encoding and choose Western 8859-1.

For IE, choose a similar option.

or

2. Type the following without the spaces between characters:

≤ & l e ;

≥ & g e ;

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