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.