Piecewise Functions
Name
Block
Piecewise Functions
Evaluate:
1) [pic] 2) [pic]
[pic] [pic]
3) [pic] 4) [pic]
[pic] [pic]
5) [pic] 6) [pic]
[pic] [pic]
Sketch each function below without using a graphing calculator. Find the domain and range of each function. Remember , all functions must pass the vertical line test.
7) [pic] 8) [pic]
9) [pic] 10) [pic]
11) [pic]
12) When a diabetic takes long-acting insulin, the insulin reaches its peak effect on the blood sugar level in about three hours. This effect remains fairly constant for 5 hours, then declines, and is very low until the next injection. In a typical patient, the level of insulin might be modeled by the following function.
[pic]
Here, [pic]represents the blood sugar level at time t hours after the time of the injection. If a patient takes insulin at 6 am, find the blood sugar level at each of the following times.
a. 7 am b. 11 am c. 3 pm d. 5 pm
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