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Baldwin777

  • 3 years ago

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

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  1. ParthKohli
    • 3 years ago
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    What do you think?

  2. Baldwin777
    • 3 years ago
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    Yes

  3. ParthKohli
    • 3 years ago
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    How so?

  4. Baldwin777
    • 3 years ago
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    because of the equation

  5. ParthKohli
    • 3 years ago
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    I mean, why do you think it is a polynomial function?

  6. Baldwin777
    • 3 years ago
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    because of the terms? I really honestly don't know if it is

  7. Baldwin777
    • 3 years ago
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    If it is a polynomial function what is it's type?

  8. ParthKohli
    • 3 years ago
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    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.

  9. Baldwin777
    • 3 years ago
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    It somewhat looks like that, except that it's flipped

  10. ParthKohli
    • 3 years ago
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    Yeah, but it still is. So it's a polynomial :-)

  11. Baldwin777
    • 3 years ago
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    Okay so what wold the polynomials type be? linear, cubic, quadratic?

  12. Aeronautix
    • 3 years ago
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    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.

  13. ParthKohli
    • 3 years ago
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    What is the highest power of \(x\) which you see?

  14. ParthKohli
    • 3 years ago
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    If the highest power is 1, then linear. If 2, then quadratic. If 3, then cubic. If 4, then quartic.

  15. muhammad9t5
    • 3 years ago
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    do you mean poly?

  16. Baldwin777
    • 3 years ago
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    Oh, thank you all you really made me understand this a lot better

  17. Aeronautix
    • 3 years ago
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    If 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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