How do I use the intermediate value theorem to determine

maduregimc

maduregimc

Answered question

2021-12-17

How do I use the intermediate value theorem to determine whether x5+3x21=0 has a solution over the interval [0,3]?

Answer & Explanation

Nadine Salcido

Nadine Salcido

Beginner2021-12-18Added 34 answers

Explanation:
Bolzanos
Joseph Lewis

Joseph Lewis

Beginner2021-12-19Added 43 answers

Explanation: 
According to the intermediate value theorem:
If the function f(x) is continuous on the interval [a,b] and y is a number between f(a)  and  f(b), then there exists a number x=c in the open interval (a,b) such that y=f(c)
Here, 
f(x)=x5+3x21 
is a continouos function on the interval [0,3] as f(x) is a polynomial function. 
f(0)=1 
f(3)=243+271=269 
0(f(0),f(3)) 
As f(x) changes sign from f(0) as f(3) 
c(0,3) such that f(c)=0 
The intermediate value theorem is used in this situation.

RizerMix

RizerMix

Expert2021-12-29Added 656 answers

The guys above, they decided everything for sure, I will not repeat myself and I will not write another one from

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?