math

posted by .

Find the absolute maximum value and the absolute minimum value, if any, of the function.

g(t)=t/t-2 on[4,6]

  • math -

    I assume you meant
    g(t) = t/(t-2)

    g' (t) = ( (t-2)(1) - t(1) )/(t-2)^2
    = -2/(t-2)^2
    let -2/(-2)^2 = 0 for a max/min
    this has no solution,
    so the max and mins must occur at the endpoints of your domain

    g(4) = 4/(4-2) = 2
    g(6) = 6/(6-2) = 6/4 = 3/2

    so the max value is 2 and the minimum value is 3/2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x)=x^3+3x^2-1 on [-3,1]
  2. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum …
  3. Calculus (pleas help!!!)

    Find the absolute maximum and absolute minimum values of the function f(x)=(x−2)(x−5)^3+11 on each of the indicated intervals. Enter -1000 for any absolute extrema that does not exist. (A) Interval = [1,4] Absolute maximum …
  4. Math

    Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x)=x^3+3x^2-1 on [-3,1]
  5. Math

    Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x)=x^3+3x^2-1 on [-3,1]
  6. Calculus

    Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = −x2 + 2x + 3 on [3, 6] maximum minimum
  7. Calculus

    Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
  8. Calculus

    Find the absolute extrema of the function. (Round your answer to three decimal places.) f(x) = xe^-x2 on [0,2] Absolute maximum value: at x = Absolute minimum value: at x =
  9. Calculus

    Find the absolute maximum and absolute minimum values of the function f(x)=x^3+6x^2-63x+4 on each of the indicated variables. Enter DNE for does not exist. (A) Interval = [-8,0] Absolute maximum = Absolute minimum = (B) Interval = …
  10. Math(Calculus)

    Im having a real difficult time solving this question. Find the absolute extrema of the function. h(x) = e^x^(2) - 4 on [-2,2] Absolute maximum value: at x = Absolute minimum value: at x =

More Similar Questions