Which of the following is an odd function?

Question

a) f(x) = 3x^2 + x

b) f(x) = 4x^3 + 7

c) f(x) = 5x^2 + 9

d) f(x) = 6x^3 + 2x

Answer 1

Step 1:

Consider option (a).

The function is .

If , then the function is said to be an odd function.

Thus,  is not an odd function.

Consider option (b).

The function is .

Thus,  is not an odd function.

Step 2:

Consider option (c).

The function is .

Thus,  is not an odd function.

Consider option (d).

The function is .

Therefore, is an odd function.

Option (d) is an odd function.

Solution:

Option (d) is an odd function.