Understanding the Domain of a Function

The video tutorial discusses Pooja's plant, which sprouted before she bought it and lived for 98 days. The function h(t) represents the plant's height over time. The video explores whether the domain of h(t) should be integers or real numbers, concluding that real numbers are more appropriate. It defines the domain interval from -2 to 98 days, including both endpoints.

How many days did Pooja have the plant before it died?

• 100 days

• 98 days

• 30 days

• 2 days

What does the function h(t) represent in the context of Pooja's plant?

• The height of the plant in centimeters

• The age of the plant in years

• The number of leaves on the plant

• The color of the plant

What type of numbers is more appropriate for the domain of the function h(t)?

• Natural numbers

• Integers

• Real numbers

• Complex numbers

Why might real numbers be considered for the domain of h(t)?

• Because the plant only grows on specific days

• Because the plant's height can be measured at any time, not just whole days

• Because the plant grows only on whole days

• Because the plant's height is always constant

What is the starting point of the domain interval for t?

• 0 days

• -2 days

• 98 days

• 2 days

What is the ending point of the domain interval for t?

• 0 days

• 98 days

• 2 days

• 100 days

Why are brackets used in the interval notation for the domain?

• To show uncertainty

• To indicate an approximation

• To exclude the endpoints

• To include the endpoints

What does the interval [-2, 98] represent in the context of the plant's growth?

• The number of leaves on the plant

• The days from sprouting to death

• The height of the plant in centimeters

• The age of the plant in years

What is the significance of the value -2 in the domain interval?

• It represents the number of leaves on the plant

• It represents the height of the plant

• It represents two days before Pooja bought the plant

• It represents the day Pooja bought the plant

What is the correct interval notation for the domain of t?

• (0, 98)

• [-2, 98]

• (-2, 98)

• [0, 98]