For each function, determine whether it is a polynomial function.Function Is the function a polynomial?Yes No=ux+9x−34x (a) =ux+9x−34x=vx4−x4+x2 (b) =vx4−x4+x2=hx−24x (c) =hx−24x=gx−8x (d) =gx−8x
Question
For each function, determine whether it is a polynomial function.Function Is the function a polynomial?Yes No=ux+9x−34x (a) =ux+9x−34x=vx4−x4+x2 (b) =vx4−x4+x2=hx−24x (c) =hx−24x=gx−8x (d) =gx−8x
Solution
The functions are not clearly defined in your question. However, I can provide you with the general criteria to determine if a function is a polynomial:
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A polynomial function has the form of P(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_2x^2 + a_1x + a_0, where each a is a constant, and n is a nonnegative integer.
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The exponents on the variable (x in this case) must be nonnegative integers (0, 1, 2, 3, ...).
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The coefficients of the variable must be real numbers.
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There should be a finite number of terms.
Please recheck your functions and apply these criteria to determine if they are polynomial functions.
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