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1.7 T HE D OMAIN AND R ANGE OF Q UADRATIC F UNCTIONS

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Determine the domain and range:

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Determine the domain and range of

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In real life situations sometimes the domain and range are restricted so that the graph represents the real problem. Example: A construction worker throws a tape measure from the top of a building to the ground. The height of the tape measure after t seconds is given by the function: What is the domain and range of the function?

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The height of the tape measure clearly has a maximum and minimum and the time that the function exists is limited to the time that it is in the air. Make a table of values to see if we can determine when the tape measure reaches the maximum height and when it hits the ground.

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xy 0 0.5 1 1.5 2 2.5 3 3.5

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Until we review how to calculate the maximum and the roots you will have to approximate them using the table of values…. Domain = Range =

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H OMEWORK : P AGE 63-65 #2, 3, 7 – 10, 12

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