Intermediate value theorem
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
f(x)=10/((x^2)+1) [0,1] k=8
© BrainMass Inc. brainmass.com March 4, 2021, 6:32 pm ad1c9bdddfhttps://brainmass.com/math/functional-analysis/intermediate-value-theorem-49605
Solution Preview
First, f(x) is continuous on [0,1] and we can use the intermediate value theorem.
f(0)=10/(0+1)=10>k=8
f(1)=10/(1+1)=5<k=8
So we can ...
Solution Summary
This shows how to determine if a function follows the intermediate value theorem.
$2.49