AP Calculus ABmediummcq1 pt
What is the largest interval on which f(x) = √(x - 1) is continuous?
A.All x with x less than or equal to 1
B.All x with x greater than or equal to 1
C.All real numbers
D.All x with x strictly greater than 1
Explanation
Core Concept
The square root is real only when x - 1 ≥ 0, so the domain is [1, ∞). On this set f is a composition of continuous functions, and at the endpoint the right-hand limit equals 0 = f(1), so f is right-continuous there. Nothing beyond x = 1 needs to be excluded, making this the largest interval of continuity.
Correct Answer
BAll x with x greater than or equal to 1
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