At infinity
When analytic

Properties of functions

Global properties

Invertibility

Injectivity

Surjectivity

Bijectivity

Invariance

Parity

Even

Odd

Neither even nor odd

Periodicity

Local properties

Smoothness

Continuous

1-differentiable

2-differentiable

Smooth

Outline

Zeroes Sign

Monotonicity Critical points

Concavity Points of inflection

Graph

Approximation

(Locally) Constant

Straight line

Parabola

Taylor series

Asymptotes

Mathematical tools

Equations

Inequalities

Limits

Derivative

Order 0

Order 1

Order 2

Order ꝏ