# Math

Use the intermediate value theorem to show that f(x) has a zero in the given interval. Please show all of your work.
f(x) = 3x^3 + 8x^2 - 5x - 11; [-2.8, -2.7]

I'm not understanding all this questions...

1. 👍 0
2. 👎 0
3. 👁 172
1. If the function f(x) is continuous on
[a,b] and f(a)*f(b)<0 then on (a,b) there
are at least one zero. Polynomial is
continuous on R.
Compute f(-2.8) and f(-2.7)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### calculus

3x4 − 8x3 + 5 = 0, [2, 3] (a) Explain how we know that the given equation must have a root in the given interval. Let f(x) = 3x4 − 8x3 + 5. The polynomial f is continuous on [2, 3], f(2) = < 0, and f(3) = > 0, so by the

asked by Anonymous on July 1, 2020
2. ### Calculus

Let f be a twice-differentiable function such that f(2)=5 and f(5)=2. Let g be the function given by g(x)= f(f(x)). (a) Explain why there must be a value c for 2 < c < 5 such that f'(c) = -1. (b) Show that g' (2) = g' (5). Use

asked by Leanna on February 7, 2011
3. ### math

Determine if the Mean Value Theorem for Integrals applies to the function f of x equals the square root of x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.

asked by jose on November 16, 2018
4. ### Calculus

Rolle's theorem cannot be applied t the function f(x)= ln(x+2) on the interval [-1,2] because a) f is not differentiable on the interval [-1,2] b) f(-1)≠ f(2) c) All of these d) Rolle's theorem can be applied to f(x)= ln(x+2) on

1. ### Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. a) No, the theorem does not apply b)

asked by Alice on January 27, 2019
2. ### Calculus

Rolle's theorem cannot be applied t the function f(x)= ln(x+2) on the interval [-1,2] because a) f is not differentiable on the interval [-1,2] b) f(-1)≠ f(2) c) All of these d) Rolle's theorem can be applied to f(x)= ln(x+2) on

asked by Maria on December 19, 2018
3. ### Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the x-coordinates of the point(s) guaranteed by the theorem a) No, the Mean Value Theorem for Integrals

asked by Alice on February 13, 2019
4. ### Math

Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. (Select all that apply.) f (x) = sin(x), [0, 2π] If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f

asked by Angelina on March 7, 2012
1. ### College Algebra

1. Use the Intermediate Value Theorem to show that the polynomial function has a zero in the given interval. f(x) = 13x^4 - 5x^2 +7x -1; [3,0] Enter the value of (-3). 2. Use the Intermediate Value Theorem to show that the

asked by Kameesha on August 9, 2012
2. ### Math

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. cos x = x. How do I begin this problem? According to the theorem, a=0, b=1 and N=x?

asked by KC on September 2, 2012
3. ### Math - Calculus

Show that the equation x^3-15x+c=0 has at most one root in the interval [-2,2]. Perhaps Rolle's Theorem, Mean Value Theorem, or Intermediate Value Theorem hold clues? ...Other than simply using my TI-84, I have no idea how to

asked by William on February 28, 2011
4. ### college algebra

Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x)=8x^5-4x^3-9x^2-9;[1,2]

asked by julez on October 29, 2011