Final answer:
The square root function is continuous on its domain, which is all non-negative numbers. It is not defined for negative numbers, so within its domain, it does not exhibit any sudden changes in value.
Step-by-step explanation:
The square root function is continuous on its domain, which consists of all non-negative numbers (0 and positive numbers). Essentially, for all x ≥ 0, the square root function is continuous since there are no jumps, breaks, or holes in the graph of the function.
For negative numbers the square root function is not defined in the set of real numbers, so the concept of continuity does not apply. Therefore, within its domain, the square root function is indeed continuous, which means it does not have any sudden changes in value.