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Explore the graph of a patient's weight over 8 weeks, highlighting the decreasing trend in the first 4 weeks and significant increase thereafter. Interpret the changing weight pattern, analyzing maximum, minimum values, and behavior. Discuss the reasonableness of assuming the trend will continue based on past data.
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Illness Giancarlos, Jennie, melissa .
Characteristics • Graph of Whole Function • Degree & leading coefficient • Degree: 3 • Leading Coefficient: +0.1 • End behavior • f(x) - ∞ as x - ∞ • f(x) + ∞ as x + ∞ • Interpret y-intercept • 110 llbs
Analysis • Variables and Units • Weight = W, in pound • N = Number of weeks • Graph • Maximum & Minimum • Maximum: None • Minimum: 106.8(Week 4) • Graph Context • As the week increase from week 0 till 4 you can see the weight decreasing, then when its on week 4 till 8 it increase massively.
Questions • Interpret increasing and decreasing intervals? What trend in the patient’s weight does the graph suggest? • From week 0 to week 4 the patient weight was decreasing by starting from 110 lbs. to 107 lbs. • Is it reasonable to assume the trend will continue? • Your weight would be constant, but depending on what season you are in, you can gain it or lose it.