SOLUTION: Determine analytically if the following functions are even, odd or neither. Check the symmetry of the function by comparing the functions for symmetry about y-axis and symmetry abo

Algebra ->  Systems-of-equations -> SOLUTION: Determine analytically if the following functions are even, odd or neither. Check the symmetry of the function by comparing the functions for symmetry about y-axis and symmetry abo      Log On


   



Question 1068293: Determine analytically if the following functions are even, odd or neither. Check the symmetry of the function by comparing the functions for symmetry about y-axis and symmetry about origin and confirm why the function is neither odd nor even.
Show work
f(x)=x^3+x^2+x+1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E3%2Bx%5E2%2Bx%2B1+
-f%28x%29=-x%5E3-x%5E2-x-1+
f%28-x%29=-x%5E3%2Bx%5E2-x%2B1
Neither because,
f%28-x%29%3C%3E-f%28x%29
and
f%28-x%29%3C%3Ef%28x%29