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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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- 6 Years Ago Posted 6 Years Ago. Direct Link to David Severin's Post “No, If It is Positive It
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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).
21 wrz 2023 · Absolute Value Equations. Recall that the absolute value 63 of a real number \(a\), denoted \(|a|\), is defined as the distance between zero (the origin) and the graph of that real number on the number line. For example, \(|−3|=3\) and \(|3|=3\).
To solve absolute value equations, find x values that make the expression inside the absolute value positive or negative the constant. To graph absolute value functions, plot two lines for the positive and negative cases that meet at the expression's zero.
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. UNDERSTANDING ABSOLUTE VALUE. Study the box in your textbook section titled “absolute value function.” The absolute value function can be defined as a piecewise function. ( ) = | | = { −. if ____________ if ____________
Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
