When a diabetic takes long acting insulin the insulin

Last updated: 4/24/2023

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 where f t represents the blood sugar level at time t hours after the time of the injection f t d Sugar Level mg dL 250 40t 100 220 a Graph the function 200 80t 860 60 if 0 t 3 if 3 t 8 if 8 t 10 if 10 t 24