math

posted by .

x^3-4x-2 [2,3]

we have to use the intermediate value thereom. not sure how to do this.

  • math -

    x^3-4x-2 [2,3]
    the function is continuous between 2 and 3
    at 2 f(2) = -2
    at 3 f(3) = +13

    The theorem states that for every number N between -2 and +13, there is some x between 2 and 3 such that f(x) = N

    Now they did not give you an N so I will say 5 for example is between -2 and +13

    The theorem says that some x between 2 and 3 will come out with f(x)= 5

    I would have to solve it by trial and error but I know to start between 2 and 5
    x f(x)
    2 -2

    try 2.5 --> 3.63 too small
    try 2.7 --> 6.88 too big
    try 2.6 --> 5.18 closer, a bit big
    try 2.58 -> 4.85 a little small
    try 2.585-> 4.93 well you get the idea

    3 13

    The theorem says that

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Macroeconomics

    Economists have found that a good approximation of value added production fucntion is given by Y=TFP*(K^alpha)*(L^-alpha) TFP is Total factor Productivity K is capital stock L is quantity of labor used alpha is a paramater around 1/3. …
  2. math

    i am wondering if the following answer to my math problem is correct f(x)=x^3-4x-2 [2,3] We are doing limits and are suppose to use the Intermediate value thereom the answer i put was f(2)<o and f(3)>0
  3. Economic

    1) GDP does not include intermediate goods because a. that would understate the true size of GDP. b. intermediate goods are not useful to consumers. c. that would count the value of intermediate goods twice. d. intermediate goods are …
  4. calculus

    Verify that the Intermediate Value theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f(x) = x^2 - 6x + 8, [0,3], f(c) = 0 I have no idea how to use the theorem :(
  5. math (geometry EAT thereom)

    i understand that in the EAT thereom the sum of the inside angles equal to the outside angle.. in my homework i have to find the angle of a inside angle, and it gives me 2 outside angles that are 130 degrees and 120 degrees, how do …
  6. 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 …
  7. 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 polynomial …
  8. Use the intermediate value

    Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=9x^4-3x^2+5x-1;[0,1]
  9. Use the intermediate value

    Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. f(x)=4x^3+6x^2-7x+1; [-4,-2] f(-4)=
  10. intermediate value thorem

    Use intermediate value theorem to show that the polynomial function has a zero in the given interval. f(-3)= value of 0=

More Similar Questions