Relations And Functions Practice Questions Ques19

Question: What is the range of the function $f(x) = |x|$?

Options:

(A) All real numbers

(B) All non-negative real numbers

(C) All positive real numbers

(D) All integers

Show Answer

Answer: B

Explanation:

(A) Incorrect. The absolute value function cannot produce negative numbers

(B) Correct. The absolute value function returns non-negative values for all real inputs

(C) Incorrect. The absolute value of 0 is 0, which is not positive

(D) Incorrect. The absolute value function can produce non-integer values