SOLUTION: Which of the following is not an equation of a simple, odd polynomial function. (Select all that apply) y = 2 x the line y = x y = x any line y = a

Algebra ->  Rational-functions -> SOLUTION: Which of the following is not an equation of a simple, odd polynomial function. (Select all that apply) y = 2 x the line y = x y = x any line y = a       Log On


   



Question 1183590: Which of the following is not an equation of a simple, odd polynomial function. (Select all that apply)
y = 2 x
the line y = x
y = x
any line y = a

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Odd polynomial is nothing but a polynomial function with the odd numbers as powers.
If function is symmetric about the origin, that is f%28-x%29=-f%28x%29, then it is an odd function.
y+=+2x
f%28x%29=2x
f%28-x%29=-2x
-f%28x%29=-2x+
y+=+2x is an odd function


the line y+=+x+
f%28x%29=x
f%28-x%29=-x
-f%28x%29=-x
y+=+x+ is an odd function

any line +y+=+a+
f%28-y%29=a
-f%28y%29=-a
f%28-a%29%3C%3E-f%28a%29
so, y+=+x is NOT an odd function

answer: any line +y+=+a+ is not an equation of a simple, odd polynomial function