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Published byAdela Grant Modified over 9 years ago
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How do we describe the Domain and Range of a function? Do Now: What are all values that we can plug into the equation
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What is the Domain of a function? The domain of a function is the set of every value that can be plugged into the function. In the Do Now, the Domain is the set of all real numbers except ±2 This can be written as R/{±2}
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What is the Range of a function? The range is the set of numbers that can come out of the function. Often it is more difficult to find the range than it is to find the domain
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TypeExampleDomainRange Lineary=2x-1All real Quadraticy=x 2 -4 y=-2x 2 +4x+5 All realy≥-4 y≤5 Cubicy=x 3 +6All real Absolute Value y= 2x-3All realy≥0 RationalAll real except x=-5 Functions with radicals x≤10y≥0
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Examples Determine the largest possible domain for each function
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Try on your own Determine the largest possible domain and range for each function
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Summary/HW How does the type of function impact its domain and range? HW: pg 152-3, 1-21 odd
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