Functions f(x), g(y), h(x), k(y)

Definition

Functions f(x), g(y), h(x), and k(y) are mathematical expressions that relate input values (x or y) to output values based on specific rules or equations.

Analogy

Think of functions as recipes for baking different types of cookies. Each function represents a unique recipe with its own set of ingredients and instructions, resulting in different types/flavors (output) depending on what you put in (input).

Related terms

Domain and Range: The domain refers to all possible input values for which the function is defined, while the range represents all possible output values produced by the function.

Composite Function: A composite function is created by combining two or more functions, where the output from one function becomes the input for another.

Transformations: Transformations involve modifying functions by shifting them horizontally, vertically, stretching/compressing them, or reflecting them across axes.