Part C: Limitations/Assumptions of the Model
For a question about domain/range restrictions, answer in the form of:
"For [describe t-values], the model __________, but in reality ___________, so we must restrict the [domain/range] to _______."
Examples:
For 𝑡>10, the model has negative output values. In reality, the lowest the weight of the trash pile can be is 0. So, we must restrict the domain to 𝑡≤10.
For 𝑡>11, the model increases. But the question states that in reality sales of lemonade decreased after 2011 (𝑡=11). So, we must restrict our domain to 𝑡≤11.
For 𝑡<0, the model outputs a positive number. But these 𝑡-values correspond with a time before cane toads were introduced to the island so in reality the cane toad population was zero at that time. So, we restrict our domain to 𝑡≥0.