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The range of the function f(x) =|x−1| is
- a)[0,∞)
- b)(−∞,0)
- c)(−∞,∞)
- d)(0,∞)Explana
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The range of the function f(x) =|x−1| isa)[0,∞)b)(−&...
We have, f(x) =|x−1|, which always gives non-negative values of f(x) for all x ∈ R.Therefore range of the given function is all non-negative real numbers i.e. [0,∞).
Most Upvoted Answer
The range of the function f(x) =|x−1| isa)[0,∞)b)(−&...
Explanation:
The function f(x) = |x-1| represents the absolute value of the expression x-1. Absolute value functions output non-negative values, so the range of this function will be all non-negative real numbers.
- A) [0, ∞): This option correctly represents the range of the function f(x) = |x-1|.
- B) (-∞, 0): This option is incorrect because the range cannot include negative values.
- C) (-∞, ∞): This option is incorrect because the range is restricted to non-negative values.
- D) (0, ∞): This option is incorrect because the range should include 0 as well.
Therefore, the correct answer is option A) [0, ∞).
The function f(x) = |x-1| represents the absolute value of the expression x-1. Absolute value functions output non-negative values, so the range of this function will be all non-negative real numbers.
- A) [0, ∞): This option correctly represents the range of the function f(x) = |x-1|.
- B) (-∞, 0): This option is incorrect because the range cannot include negative values.
- C) (-∞, ∞): This option is incorrect because the range is restricted to non-negative values.
- D) (0, ∞): This option is incorrect because the range should include 0 as well.
Therefore, the correct answer is option A) [0, ∞).
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The range of the function f(x) =|x−1| isa)[0,∞)b)(−∞,0)c)(−∞,∞)d)(0,∞)ExplanaCorrect answer is option 'A'. Can you explain this answer?
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