Explore BrainMass

Explore BrainMass

    Functions : Domain and Range and X-intercepts

    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!

    What are the domain and range and x intercepts of the function? Approximate to two decimal places.


    © BrainMass Inc. brainmass.com March 6, 2023, 1:25 pm ad1c9bdddf

    Solution Preview

    Hi there.
    thanks for posting your question to Brainmass.

    Domain is the set of x values for which the function is defined.
    In this function, any value of x will evaluate to a number. Thus the domain of the function is all the real numbers.

    As for the range - this is the set of values y can get.
    The function is a parbola. Since the coefficient of x^2 is negative, this function is concave down and has a maxima (The minimal value is minus infinity, just plug in x=infinity or x=-infinity and you'll see).

    To calculate the maxima, we take the first derivative ...

    Solution Summary

    The domain and range and x intercepts of a function are found.The solution is detailed and includes references.