Purchase Solution

Intermediate value theorem

Not what you're looking for?

Ask Custom Question

Define Intermediate-Value theorem
Using this theorem, show that there is a root of P(x)=x^3+x^2+x-1 in the closed interval [0,1].

Purchase this Solution

Solution Summary

This defines Intermediate-Value theorem and uses it in a proof.

Solution Preview

P(x) is continuous. Since P(0)=-1 and P(1)=2 there must be a number in such that (Since 0 is between -1 and 2). We can do even better. We have

Therefore there is a root between ...

Purchase this Solution

Free BrainMass Quizzes
Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.