Function Explorer
Pick a function, tweak parameters, and see how its properties show up on the graph. Start with linear; others coming next.
Controls
Key properties
- Monotonic if m ≠ 0; constant if m = 0
- Continuous, unbounded
- Derivative y' = m (constant)
- Second derivative = 0 → convex and concave
- Lipschitz constant = |m|
Intercepts
y-intercept at (0, b). If m ≠ 0, x-intercept at (−b/m, 0).
How to read the slope
Triangle shows rise over run. Positive m tilts up to the right; negative m tilts down.