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Baldwin777
 2 years ago
f(x)=5+7x^2
Does the f(x) represent a polynomial function?
Baldwin777
 2 years ago
f(x)=5+7x^2 Does the f(x) represent a polynomial function?

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Baldwin777
 2 years ago
Best ResponseYou've already chosen the best response.0because of the equation

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1I mean, why do you think it is a polynomial function?

Baldwin777
 2 years ago
Best ResponseYou've already chosen the best response.0because of the terms? I really honestly don't know if it is

Baldwin777
 2 years ago
Best ResponseYou've already chosen the best response.0If it is a polynomial function what is it's type?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Well, 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.

Baldwin777
 2 years ago
Best ResponseYou've already chosen the best response.0It somewhat looks like that, except that it's flipped

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah, but it still is. So it's a polynomial :)

Baldwin777
 2 years ago
Best ResponseYou've already chosen the best response.0Okay so what wold the polynomials type be? linear, cubic, quadratic?

Aeronautix
 2 years ago
Best ResponseYou've already chosen the best response.0A polynomial function is defined as a function f(x) = ax^n + bx^(n1) + ... + cx^(n(n2)) + dx^(n(n1)) + ex^(nn) = ax^n + bx^(n1) + ... +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.

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1What is the highest power of \(x\) which you see?

ParthKohli
 2 years ago
Best ResponseYou've already chosen the best response.1If the highest power is 1, then linear. If 2, then quadratic. If 3, then cubic. If 4, then quartic.

Baldwin777
 2 years ago
Best ResponseYou've already chosen the best response.0Oh, thank you all you really made me understand this a lot better

Aeronautix
 2 years ago
Best ResponseYou've already chosen the best response.0If it fits the definition of a polynomial function, then it can be called a polynomial function. Math is mostly a lot of definitions! :)
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