Here's the question you clicked on:
Baldwin777
f(x)=5+7x^2 Does the f(x) represent a polynomial function?
because of the equation
I mean, why do you think it is a polynomial function?
because of the terms? I really honestly don't know if it is
If it is a polynomial function what is it's type?
Well, does it look like this thing?\[ax^2 + bx + c\]If it does, then it's a polynomial function. Remember that \(a,b,c\) can hold the value \(0\) too.
It somewhat looks like that, except that it's flipped
Yeah, but it still is. So it's a polynomial :-)
Okay so what wold the polynomials type be? linear, cubic, quadratic?
A polynomial function is defined as a function f(x) = ax^n + bx^(n-1) + ... + cx^(n-(n-2)) + dx^(n-(n-1)) + ex^(n-n) = ax^n + bx^(n-1) + ... +cx^2 + dx + e. In your equation, c=7 and e=5 are coefficients, and the rest of the coefficients are equal to zero so those terms don't appear. Therefore your f(x) represents a polynomial function.
What is the highest power of \(x\) which you see?
If the highest power is 1, then linear. If 2, then quadratic. If 3, then cubic. If 4, then quartic.
Oh, thank you all you really made me understand this a lot better
If it fits the definition of a polynomial function, then it can be called a polynomial function. Math is mostly a lot of definitions! :)