How do you determine if #x^(3/2)# is an even or odd function?
1 Answer
Mar 26, 2016
Neither
Explanation:
To determine if a function is even/odd the following applies.
• If f(x) = f(- x) then f(x) is even
# AAx # Even functions have symmetry about the y-axis.
• If f -x) = - f(x) then f(x) is odd
# AA x # Odd functions have symmetry about the origin.
Test for even :
f(-x) =
# (-x)^(3/2) ≠ x^(3/2) rArr " not even " # Test for odd :
#- f(x) = - x^(3/2) ≠ (-x)^(3/2) rArr " not odd " #
