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{ Chapter 7 Lesson 3 Square Root Functions and Inequalities
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Square Root Function- A function that contains a square root of a variable. Square Root Inequality- An inequality that involves square roots. Vocabulary
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Square Root Function
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Domain of Square Root Function
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Examples
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After you find first x value in your table, plug value in to equation to find first y value. Take y value you found to start your table. If sign in front of square root is positive, range is Y ≥ first y value in table. If sign in front of square root is negative, range is Y ≤ first y value in table. Finding Range
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Example
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Make a table First value of table is found by setting what is underneath the square root sign equal to zero and solving for x. Second value is determined by the domain of the equation Graphing Square Root Functions
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Example
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Same as domain of functions Domain of Inequalities
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Range of Inequalities InequalitySign in Front of √ExampleRange
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Graph just like it was an equation If the sign is, graph with a dotted line If sign is ≥ or ≤, graph with a solid line If sign is < or ≤, shade below line If sign is > or ≥, shade above the line Graphing Inequality
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Example
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Worksheet 7-3 Homework
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