Equation for Linear Parent Function
The equation for a linear parent function is written as: f(x) = x
In this equation, “f(x)” represents the output or y-value and “x” represents the input or x-value
The equation for a linear parent function is written as: f(x) = x
In this equation, “f(x)” represents the output or y-value and “x” represents the input or x-value. The linear parent function simply states that the output (y-value) is equal to the input (x-value).
The equation y = x is considered the most basic or “parent” form of a linear function because it has a slope of 1 and a y-intercept of 0. This means that for every unit increase in the x-coordinate, there is a corresponding unit increase in the y-coordinate.
The graph of a linear parent function is a straight line that passes through the origin (0,0) and has a slope of 1. It extends infinitely in both directions.
It’s important to note that the linear parent function serves as a template or foundation for other linear functions. By modifying the coefficients and constants in the equation, you can create different variations of linear functions such as y = mx + b, where “m” represents the slope and “b” represents the y-intercept. However, the fundamental structure of a linear parent function remains the same.
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