Which of the following is an odd function?

 The odd function is (D)

Step-by-step explanation:  We are given to select the odd function from the options.

AN ODD FUNCTION:  A function f(x) is said to be odd if f of negative x results in negative of f of x.

That is, f(-x) = - f(x).

Option (A) is

Putting x = -x, we have

So, this function is not odd.

Option (B) is

Putting x = -x, we have

So, this function is not odd.

Option (C) is

Putting x = -x, we have

So, this function is not odd.

Option (D) is

Putting x = -x, we have

So, this function is odd.

Therefore, the correct odd function is

Thus, (D) is the correct option.

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: