Let .
Statement 1: is an odd function.
Statement 2: is neither an odd function nor an even function.
Statements 1 and 2 both are true
Explanation for the correct answer:
Checking the truth of the two statements:
Step 1: Given information:
Given that:
An odd function is one where
An even function is one where
Step 2: Checking whether is an odd or even function
Therefore, is neither an odd function nor an even function.
Step 3: Checking if is an odd function:
Therefore, is an odd function.
So, both statement 1 and statement 2 are true.
Hence, option (C) is the correct answer.