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6.3 – Square Root Functions and Inequalities
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Vocabulary: Square Root Function – a function that contains the square root of a variable. - A type of radical function.
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Domain of Square Root Functions:
Domain: (What type of #’s can/cannot be underneath a square root???) • # CANNOT be negative, so… the # (or expression) has to be > 0!
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Range of Square Root Functions:
Range: (What type of #’s will result from square rooting a #???) • Answers WILL NOT be negative, so… the y-values resulting from the square root function have to be > 0!
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Example 1: Identify the domain and range of
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Example 2: Identify the domain and range of
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Example 3: Graph the function. State the domain and range.
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Example 4: Graph the function. State the domain and range.
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Example 5: Graph the function. A. B. C. D.
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Ticket Out: State the domain and range of the function. Hw – pg. 403, #13 – 16, 22 – 28 even A. D: {x | x ≥ –1}; R: {y | y ≤ –4} B. D: {x | x ≥ 1}; R: {y | y ≥ –4} C. D: {x | x ≥ –1}; R: {y | y ≤ 4} D. D: {x | x ≥ 1}; R: {y | y ≤ 4}
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