Intermediate Value Theorem
Topic Page
Intermediate Value Theorem
Questions

What is Bolzano's theorem?

What does the intermediate value theorem mean?

What is a continuous function?

How do I use the intermediate value theorem to determine whether #x^5 + 3x^2  1 = 0# has a solution over the interval #[0, 3]#?

How do I use the intermediate value theorem to determine whether a polynomial function has a solution over a given interval?

How do I use the intermediate value theorem to prove every polynomial of odd degree has at least one real root?

How is Bolzano's theorem related to the intermediate value theorem?

How do you use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomial #P(x) = x^3  3x^2 + 2x  5# have a real zero between the numbers 2 and 3?

How do you use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomial #P(x) = x^4 + 2x^3 + 2x^2  5x + 3# have a real zero between the numbers 0 and 1?

How do you use the intermediate value theorem to explain why #f(x)=1/16x^4x^3+3# has a zero in the interval [1,2]?

How do you use the intermediate value theorem to explain why #f(x)=x^3+3x2# has a zero in the interval [0,1]?

How do you use the intermediate value theorem to explain why #f(x)=x^2xcosx# has a zero in the interval [0,pi]?

How do you use the intermediate value theorem to explain why #f(x)=4/x+tan((pix)/8)# has a zero in the interval [1,3]?

How do you use the intermediate value theorem to verify that there is a zero in the interval [0,1] for #f(x)=x^3+x1#?

How do you use the intermediate value theorem to verify that there is a zero in the interval [0,1] for #f(x)=x^3+3x2#?

How do you use the intermediate value theorem to verify that there is a zero in the interval [0,1] for #g(t)=2cost3t#?

How do you use the intermediate value theorem to verify that there is a zero in the interval [0,1] for #h(theta)=1+theta3tantheta#?

Question #6aada

How do you use the intermediate value theorem to prove that #f(x)=x^39x+5# has a real zero in the intervals [4,3], [0,1], and [2,3]?