Thread: 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

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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!

Originally Posted by RedSpades

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,

Where,
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.