Question

Determine if the function f(x) = 3x ^ 5 - 9

is even, odd, or neither

Answer 1

the function f is neither even nor odd

Explanation:

f(x) = 3x⁵ - 9

we start by calculating f(-x)

f(-x) = 3(-x)⁵ - 9

= 3(-(x)⁵) - 9 (Since 5 is an odd number then (-x)⁵ = - x⁵)

= - 3x⁵ - 9

Then

f is not even because f(-x) = - 3x⁵ - 9 ≠ 3x⁵ - 9 = f(x)

f is not odd because f(-x) = - 3x⁵ - 9 ≠ -3x⁵ + 9 = -f(x)