Question

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

Answer 1

What do you think?

Answer 2

Yes

Answer 3

How so?

Answer 4

because of the equation

Answer 5

I mean, why do you think it is a polynomial function?

Answer 6

because of the terms? I really honestly don't know if it is

Answer 7

If it is a polynomial function what is it's type?

Answer 8

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.

Answer 9

It somewhat looks like that, except that it's flipped

Answer 10

Yeah, but it still is. So it's a polynomial :-)

Answer 11

Okay so what wold the polynomials type be? linear, cubic, quadratic?

Answer 12

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.

Answer 13

What is the highest power of \(x\) which you see?

Answer 14

If the highest power is 1, then linear.
If 2, then quadratic.
If 3, then cubic.
If 4, then quartic.

Answer 15

do you mean poly?

Answer 16

Oh, thank you all you really made me understand this a lot better

Answer 17

If it fits the definition of a polynomial function, then it can be called a polynomial function. Math is mostly a lot of definitions! :)