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The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs. This article reviews how to draw the graphs of absolute value functions.
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- Graphing Absolute Value Functions
We can graph any absolute value equation of the form...
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We can graph any absolute value equation of the form y=k|x-a|+h by thinking about function transformations (horizontal shifts, vertical shifts, reflections, and scalings).
This topic covers: - Solving absolute value equations - Graphing absolute value functions - Solving absolute value inequalities.
21 wrz 2023 · To solve an absolute value equation, such as \(|X| = p\), replace it with the two equations \(X = −p\) and \(X = p\) and then solve each as usual. Absolute value equations can have up to two solutions.
Graph an absolute value function. Solve an absolute value equation. Solve an absolute value inequality.
The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value without regard to sign. Knowing this, we can use absolute value functions to solve some kinds of real-world problems.
Learning Objectives. In this section, you will: Graph an absolute value function. Solve an absolute value equation. Figure 1. Distances in deep space can be measured in all directions. As such, it is useful to consider distance in terms of absolute values. (credit: “s58y”/Flickr)
