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The absolute value function is commonly used to measure distances between points. Applied problems, such as ranges of possible values, can also be solved using the absolute value function. The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction.
- 1.7: Absolute Value Functions
Understanding Absolute Value. Recall that in its basic form...
- 1.7: Absolute Value Functions
Learn how to define, write and graph absolute value functions, which are important functions in algebra that consist of the variable in the absolute value bars. Find out the range, differentiability, evenness and piecewise form of absolute value functions.
Learn how to graph absolute value functions using the general form f(x) = a|x-h|+k. See examples, tips, and questions with solutions.
This topic covers: Solving absolute value equations. Graphing absolute value functions. Solving absolute value inequalities.
Understanding Absolute Value. Recall that in its basic form the absolute value function, is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number is from zero on a number line.
Learn the definition, graph, domain, range and algebra of the absolute value function. It is a piecewise function that makes a right angle at (0,0) and is an even function.
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.
