IntroPolynomial Functions
Constant Function
f(x) = c
Overview
A constant function outputs the same value for every input. Its graph is a horizontal line.
Domain
(-∞, +∞)
Range
{c}
Symmetry
Even (symmetric about y-axis)
Key Properties
1
Slope is always 0
2
Graph is a horizontal line y = c
3
Even function when c ≠ 0
4
Derivative is always 0
Key Insight
Think of it as "no matter what x is, the answer is always c." Great for modeling fixed costs or temperatures.
Visualize Constant Function
Interact with the graph, adjust parameters, and see how the function behaves in real time.