Una función es una regla que toma entradas de un conjunto y las asigna a salidas de otro conjunto. A cada entrada se le asigna exactamente una salida.
Una variable dependiente es una variable que representa la salida de una función.
Por ejemplo, la ecuación define a como una función de .
La variable se llama la variable independiente, porque se puede elegir su valor.
La variable se llama la variable dependiente, porque depende de . Cada vez que se elige un valor de , el valor de queda determinado.
Una variable independiente es una variable que representa la entrada de una función.
Por ejemplo, la ecuación define a como una función de .
La variable se llama la variable independiente, porque se puede elegir su valor.
La variable se llama la variable dependiente, porque depende de . Cada vez que se elige un valor de , el valor de queda determinado.
Standards Alignment
Building On
8.F.A.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Function notation is not required in Grade 8.
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If is a function and is an element of its domain, then denotes the output of corresponding to the input . The graph of is the graph of the equation .
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.