Question

jose had a beautiful plant. it began sprouting 2 days before alexa bought it, and he took care of it for 88 days before it died. at its tallest, the plant was 20 cm tall. let h(t) denote the height of jose’s plant (measured in cm), t days from the time he bought it. which set of numbers is more appropriate for the domain of the function?

Answer 1

The domain of a function is the set of values which the function can take as input and be defined. In this scenario, these are the values of time, t. Hence, the set of numbers which is appropriate for the domain is - 2 ≤ t ≤ 88 (real numbers).

The height of the plant is a function of time, h(t) ;

• Sprouting time before purchase, t = - 2 days

• Number of days after purchase before death = 88 (endpoint)

Hence, the domain of the function is the set of values in the inequality ;

• - 2 ≤ t ≤ 88

Therefore, the domain is the set of real numbers between - 2 ≤ t ≤ 88

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