list any three function along with their functionalities
Answers
Answer:
Functions can be identified according to the properties they have. These properties describe the functions behaviour under certain conditions. A parabola is a specific type of function.
Relative to set theory Edit
These properties concern the domain, the codomain and the range of functions.
Injective function: has a distinct value for each distinct argument. Also called an injection or, sometimes, one-to-one function. In other words, every element of the function's codomain is the image of at most one element of its domain.
Surjective function: has a preimage for every element of the codomain, i.e. the codomain equals the range. Also called a surjection or onto function.
Bijective function: is both an injection and a surjection, and thus invertible.
Identity function: maps any given element to itself.
Constant function: has a fixed value regardless of arguments.
Empty function: whose domain equals the empty set.
Set function: whose input is a set.
Choice function called also selector or uniformizing function: assigns to each set one of its elements.
Relative to the real/complex numbers. Linear function; also affine function. Convex function: line segment between any two points on the graph lies above the graph. Arithmetic function: A function from the positive integers into the complex numbers.