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

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

Determine the domain and range:

Determine the domain and range of

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?

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.

xy

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

H OMEWORK : P AGE #2, 3, 7 – 10, 12