IntroProPower Functions
Square Root
f(x) = √x
Overview
The square root function is the inverse of x². It only accepts non-negative inputs.
Domain
[0, +∞)
Range
[0, +∞)
Symmetry
Neither
Key Properties
1
Domain: x ≥ 0
2
Increasing on entire domain
3
Concave down (decelerating growth)
4
Vertical tangent at x = 0
Key Insight
√x grows much slower than x. For large x, √x is much smaller — useful for modeling diminishing returns.
Visualize Square Root
Interact with the graph, adjust parameters, and see how the function behaves in real time.