SOLUTION: determine which functions are polynomial functions and if they are state the degree f(x)=3x^5/2x+1 g(X)=3x^2+5^1/2-1 h(x)=3 f(x)=2x^3+3.14x+1/2

Algebra ->  Rational-functions -> SOLUTION: determine which functions are polynomial functions and if they are state the degree f(x)=3x^5/2x+1 g(X)=3x^2+5^1/2-1 h(x)=3 f(x)=2x^3+3.14x+1/2      Log On


   



Question 240218: determine which functions are polynomial functions and if they are state the degree
f(x)=3x^5/2x+1
g(X)=3x^2+5^1/2-1
h(x)=3
f(x)=2x^3+3.14x+1/2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

f(x) is not a polynomial function. f(x) is a rational function composed of the quotient of two polynomial functions.

g(x) is a polynomial function because although it has a non-integer exponent, that exponent is not on a variable (unless you mis-typed it and it is supposed to be 5x^1/2) g(x) is degree 2.

h(x) is a polynomial function of degree 0. Remember so you can re-write

The other f(x) is a polynomial function of degree 3. Nothing says the coefficients have to be integers (or rational or even real, for that matter)

John