Graph each equation. ƒ(x) = x

Key Concepts

Function Definition

A function is a relation that assigns exactly one output for each input from its domain. In the case of ƒ(x) = x, the function maps every real number to itself, illustrating a direct linear relationship. Understanding this concept is crucial for interpreting how inputs and outputs relate in a graph.

Graphing Linear Functions

Graphing linear functions involves plotting points that satisfy the equation on a coordinate plane. For ƒ(x) = x, the graph is a straight line that passes through the origin (0,0) with a slope of 1. This means for every unit increase in x, y also increases by one unit, creating a 45-degree angle with the axes.

Coordinate Plane

The coordinate plane is a two-dimensional surface defined by a horizontal axis (x-axis) and a vertical axis (y-axis). Each point on the plane is represented by an ordered pair (x, y). Understanding how to navigate this plane is essential for accurately graphing functions and interpreting their behavior visually.