Which of the following function is neither even nor odd? (a) f(x) = x

1.	Which of the following function is neither even nor odd? (a) f(x) = x3 + 5 (b) f(x) = x5 (c) f(x) = x10 (d) f(x) = x2
Answer» (a) f(x) = x³ + 5 Since it has a constant term 5. f(x) = x³ + 5 f(-x) = (-x)³ + 5 = -x³ + 5. It is not either f(x) or -f(x).

Which of the following function is neither even nor odd? (a) f(x) = x3 + 5 (b) f(x) = x5 (c) f(x) = x10 (d) f(x) = x2

Answer»

(a) f(x) = x³ + 5

Since it has a constant term 5.

f(x) = x³ + 5

f(-x) = (-x)³ + 5 = -x³ + 5.

It is not either f(x) or -f(x).