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Math Help - Identifying Polynomial and Power Functions HELP!

  1. #1
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    Unhappy Identifying Polynomial and Power Functions HELP!

    I am so stuck on these problems and I need someone to explain to me how to do this. =\ Help will be greatly appreciated! =D

    State whether the function is a POWER FUNCTION, a POLYNOMIAL FUNCTION, BOTH or NEITHER. Write the function in standard form (if it is either a polynomial or power function). For power functions, give the constant of variation and power. For polynomial functions, give the degree and leading term.

    1. f(x) = 3(ex)^3

    2. E(m) = mc^2

    3. g(x) = k(2n)^5 - 2x^3 + 5x^4

    ---
    I am stuck =[ please help!
    I will really appreciate it if you explain how you got the answers, if it isn't too much to ask. Thank you again!
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  2. #2
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    Quote Originally Posted by RedSpades View Post
    I am so stuck on these problems and I need someone to explain to me how to do this. =\ Help will be greatly appreciated! =D

    State whether the function is a POWER FUNCTION, a POLYNOMIAL FUNCTION, BOTH or NEITHER. Write the function in standard form (if it is either a polynomial or power function). For power functions, give the constant of variation and power. For polynomial functions, give the degree and leading term.

    1. f(x) = 3(ex)^3
    You can write this as,
    3e^3x^3
    Where,
    e^3 is just a number.
    Thus, it is polynomial of degree 3.
    2. E(m) = mc^2
    A linear function. Not a quadradic. Note E(m) is function of 'm'. And c^2 is a number here. So it is a linear function.
    3. g(x) = k(2n)^5 - 2x^3 + 5x^4
    Again 'n' has nothing to do with this, look at the x's it is a polynomial is of degree 4.
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