IntroPolynomial Functions
Identity Function
f(x) = x
Overview
The identity function returns exactly its input. It's the simplest linear function.
Domain
(-∞, +∞)
Range
(-∞, +∞)
Symmetry
Odd (rotational symmetry about origin)
Key Properties
1
Slope = 1 everywhere
2
Passes through origin
3
Odd function
4
f(f(x)) = x (self-inverse)
Key Insight
The identity function is its own inverse — applying it twice gets you back to where you started.
Visualize Identity Function
Interact with the graph, adjust parameters, and see how the function behaves in real time.