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 nonzero 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 nonzero 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 88591.
For IE, choose a similar option.
or
2. Type the following without the spaces between characters:
≤ & l e ;
≥ & g e ;
Answer This Question
Related Questions
 Calculus  Consider the function f(x)=8.5x−cos(x)+2 on the interval 0¡Üx¡Ü...
 calculus  Consider the function f(x)=65x−cos(x)+2 on the interval 0 less ...
 Calculus  Consider the function f(x)=6xcos(x)+5 on the interval 0 is less than...
 Math  17) Consider the function f(x)=3x3−3x2+4x+2 Find the average slope ...
 Math  16) Consider the function f(x)=2x3−6x2−90x+5 on the interval...
 Math Calculus  The Image Theorem: The image theorem, a corollary of the ...
 calculus  Consider the function f(x)=–3x3–1x2+1x+1Find the average slope of ...
 calculus  Consider the function f(x)=3x^2 – 5x on the interval [4,4]. Find the...
 Calculus  Let f be a twicedifferentiable function such that f(2)=5 and f(5)=2...
 Calculus  Let f(x)=5x2+5x−12. Answer the following questions.Find the ...
More Related Questions