Linear Parent Function
x →∞, f(x) →∞x → -∞, f(x) → ∞
The linear parent function, or the parent linear equation, is represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
In this linear equation, x and y are variables representing the input and output, respectively. The slope (m) determines the rate of change of y with respect to x, while the y-intercept (b) represents the point where the line crosses the y-axis.
The linear parent function is used as a reference point for other linear functions. When graphed, the linear parent function forms a straight line with a slope of 1 and a y-intercept of 0.
One of the main properties of the linear parent function is that its slope is constant throughout the line. This means that for any two points on the line, the ratio of the change in y to the change in x is always the same value as the slope.
The linear parent function is commonly used in algebra and geometry to model linear relationships and to solve problems related to lines and their properties.
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