Let the curve f(x) = |x − 3|. What is the domain of the function f(x)?
Answer
The correct answer is C: (−∞, ∞). f(x) = |x − 3| is defined for all real numbers since the absolute value of any real number is well-defined. Hence the domain is (−∞, ∞).
A.(0, ∞)
B.(3, ∞)
C.(−∞, ∞)✓ Correct
D.(−∞, ∞) − {3}
Explanation
f(x) = |x − 3| is defined for all real numbers since the absolute value of any real number is well-defined. Hence the domain is (−∞, ∞).
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