The function f(x) = x^2 defined on the interval (1,∞) represents a parabolic curve that opens upwards, starting from the point (1, 1) and extending infinitely as x increases. This function showcases specific properties such as continuity and differentiability over the specified domain, which are crucial for understanding concepts like uniform continuity. The characteristics of this function allow for analysis of its behavior as x approaches large values and how it interacts with the concept of uniform continuity.
congrats on reading the definition of f(x) = x^2 on (1,∞). now let's actually learn it.