Determine if the function f(x) = x¹³ + 4 is even, odd, or neither even nor odd. A) even B) odd C) neither even nor odd

Question

Quizplus · Accepted Answer

The function f(x) = x^3 + 4 is neither even nor odd because it does not satisfy the conditions for either. An even function must satisfy f(-x) = f(x), and an odd function must satisfy f(-x) = -f(x). Here, f(-x) = (-x)^3 + 4 = -x^3 + 4, which is not equal to f(x) (x^3 + 4) nor is it the negative of f(x), indicating the function is neither even nor odd.

Determine If the Function F(x) = X13 + 4 Is

Determine If the Function F(x) = X¹³ + 4 Is