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Math Help - power functions?

  1. #1
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    power functions?

    I wanna ask for the definition for 'power function'

    say for example

    2^X (2 to the power x)

    X^2 (x sq.)

    which one is a power function

    i've struggled for some time
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  2. #2
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    Quote Originally Posted by rogerkitkit View Post
    I wanna ask for the definition for 'power function'

    say for example

    2^X (2 to the power x)

    X^2 (x sq.)

    which one is a power function

    i've struggled for some time
    2^x is the exponential function.
    x^2 is the power function.
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  3. #3
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    Quote Originally Posted by sa-ri-ga-ma View Post
    2^x is the exponential function.
    x^2 is the power function.
    i've seen a definition

    A power function is a function in which the independent variable occurs as a power (i.e. an index), eg 2^x,3^-4x

    is this wrong?
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  4. #4
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by rogerkitkit View Post
    i've seen a definition

    A power function is a function in which the independent variable occurs as a power (i.e. an index), eg 2^x,3^-4x

    is this wrong?
    No, that's the definition of an exponential function.

    As sa-ri-ga-ma mentioned (and I will generalize what the user said), a power function has the form f(x)=x^a, where a can be any real number.
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