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    Function and Its Domain

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    1. Determine whether the following relation represents a function. If the relation is a function then state domain and range?
    {(4,6),(-2,6),(7,8),(4,13)}
    Does the given relation represent a function?

    2.Determine whether the following relation represents a function. If the relation is a function then state domain and range?
    {(-1,-6),(2,-6),(3,-6),(4,-6)}
    Does the given relation represents a function?

    3.Find the domain of the function. Make sure answer is in interval notation.
    g(x)=7x/x^2-4

    4.Find the domain of the function. Make sure answer is in interval notation.
    f(x)=5x square root of x-2

    5. For the given function f and g find the folowing and state the domain of each result
    f(x)=2x+1;g(x)=7x-1
    a) (f-g)(x)=_____

    6. For the given function f and g find the specified value of the following functions and state the domain of each one.
    f(x)=x=10;g(x)=9x^2
    a) (f+g)(1)=_____

    © BrainMass Inc. brainmass.com March 5, 2021, 12:51 am ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/function-domain-542153

    Solution Preview

    1. A function is a relation if there are NO two ordered pairs which have the same first coordinate.
    for {(4,6),(-2,6),(7,8),(4,13)} , the answer is no because two pairs have ...

    Solution Summary

    The solution gives detailed steps on determining if the given points can represent a domain. The steps for finding the domain and range for a specific function are given. Finally, the operations of addtion and substractions for two functions are explained.

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