Explore BrainMass

Explore BrainMass

    Domain, Continuity and the Intermediate Value Theorem

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    56. Graph the function f defined by

    -1 if x <= -1
    f(x) = x if -1 < x <= 3/2
    x^2 if 3/2 < x

    Specify the domain on which this function is continuous, and the points of discontinuity.

    62. Use the Intermediate Value Theorem to prove that the function defined by f(x) = x^3 + 4x^2 + x -1 has three real roots.

    © BrainMass Inc. brainmass.com December 24, 2021, 6:29 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/domain-continuity-and-the-intermediate-value-theorem-117847

    Solution Summary

    This shows how to graph a function and determine the interval on which it is continuous, and use the intermediate value theorem to prove a function has three roots in an attached Word document.

    $2.49

    ADVERTISEMENT