How do you determine if y=x³+x-3 is an even or odd function?
1 Answer
Apr 7, 2016
neither odd/even
Explanation:
To determine wether a function is odd/even , the following applies.
• If f(x) = f( -x) then f(x) is even
Even functions have symmetry about the y-axis.
• If f( -x) = - f(x) then f(x) is odd
Odd functions have symmetry about the origin.
Test for even :
f( -x) = (-x)^3 + (-x) - 3 = -x^3 - x - 3 ≠ f(x) " Not even " Test for odd :
-f(x) = -(x^3+x-3) = -x^3-x+3 ≠ f(-x)" Not odd " Hence function is neither even nor odd.