Determine whether the given function is even odd or neither

Determine whether the given function is even, odd, or neither. f(x) = 3x^3 - 7x + 2

Solution

f(x) = 3x^3 -7x +2

to check even or odd :

even : f(-x) = f(x)

odd : f(-x) = -f(x)

f(-x) = 3(-x)^3 -7(-x) +2 = -3x^3 +7x +2

It is not equal to -f(x) nor f(x)

So, function is neither even nor odd