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Thread: Domain vs Range

  1. #1
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    Domain vs Range

    What is the basic difference between domain and range? I sometimes struggle trying to determine the range of functions. Other than graphing, is there an "easy" way to find the range of functions?
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    Re: Domain vs Range

    Domain relates to the x-values
    Range relates to the y-values
    domains are usually determined by considering the equations and range from examining the graphs.
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    Re: Domain vs Range

    Typically, one has a function written as y= f(x). To determine the domain, look for values of x for which f cannot be evaluated (divide by 0, take the square root of a negative number, etc.). To determine the range, try to solve the equation y= (x) for x, reversing the roles of x and y, so reversing domain and range.
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    Re: Domain vs Range

    Quote Originally Posted by HallsofIvy View Post
    Typically, one has a function written as y= f(x). To determine the domain, look for values of x for which f cannot be evaluated (divide by 0, take the square root of a negative number, etc.). To determine the range, try to solve the equation y= (x) for x, reversing the roles of x and y, so reversing domain and range.
    Can you provide an example for finding the range algebraically?
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    Re: Domain vs Range

    Quote Originally Posted by jacs View Post
    Domain relates to the x-values
    Range relates to the y-values
    domains are usually determined by considering the equations and range from examining the graphs.
    How do you find the range without using the graph of a function?
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