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    Properties of a parabola

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    Find the domain, range and x intercepts of the following problem approximate to two decimal places of the function

    y=3x^2-30x+5

    © BrainMass Inc. brainmass.com February 24, 2021, 2:28 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/properties-parabola-22702

    Solution Preview

    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 parabola. Since the coefficient of x^2 is positive, this function has a minima (The maximal value is infinity - just plug in x=infinity or x=-infinity and you'll see).

    To calculate the minima, we take the first derivative with respect to x and equate it to zero:

    ...

    Solution Summary

    The properties of a parabola are discussed. The x-intercepts are determined.

    $2.19

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