In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if 4 < t < 11 if 11 < t < 14 if 14 < t <24 ft = 45t + 105 285 -80t+1165 45 opriate units, at time t measured in hours 7AM.

In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if 4 < t < 11 if 11 < t < 14 if 14 < t <24 ft = 45t + 105 285 -80t+1165 45 opriate units, at time t measured in hours 7AM.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Exponential And Logarithmic Functions

Section11.CR: Review Problem Set

Problem 2CR

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Question

In a typical diabetic, the level of insulin might be given by the following function:
if 0<t<4
if 4 < t < 11
if 11 < t < 14
if 14 < t <24
4
f|t
=
45t + 105
285
-80t+1165
45
Here f(t) is the blood sugar level, in appropriate units, at time t measured in hours
from the time of insulin injection. Suppose a patient takes insulin at 7AM.
At 7PM, the blood sugar level is:

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