Determine whether the function is odd using x = k. f(x) =
A) odd
B) not odd

Question

Determine whether the function is odd using x = k. f(x) = 
A) odd 
B) not odd

Quizplus · Accepted Answer

To determine whether a function is odd, we need to verify whether f(-x) = -f(x) holds true.
Substituting x = k, we get f(-k) = 11ea7f29_4fbe_75bb_9ecd_0d72f79413cd_TB3307_11 and f(k) = 11ea7f29_4fbe_75bb_9ecd_0d72f79413cd_TB3307_11. 
Now, if we negate f(k), we get -f(k) = -11ea7f29_4fbe_75bb_9ecd_0d72f79413cd_TB3307_11. 
Comparing this with f(-k), we see that f(-k) = -f(k), which means the function is odd. Hence, the answer is A) odd.

Determine Whether the Function Is Odd Using X = K