Relations And Functions Practice Questions Ques11
Question: What is the range of the function $f(x) = |x - 1|$?
Options:
(A) All real numbers
(B) All non-negative real numbers
(C) All real numbers greater than or equal to 1
(D) All real numbers less than or equal to 1
Show Answer
Answer: B
Explanation:
(A) This is incorrect as the absolute value is always non-negative.
(B) This is correct. The absolute value function always returns non-negative numbers.
(C) This is incorrect as |x - 1| can be less than 1 for some x values.
(D) This is incorrect as |x - 1| can be greater than 1 for some x values.