Question

The equation f(b)=288-12b models the function represented im the table. What are the restricted domain and range of the function?Plz help

Answer 1

D)

Explanation:

Answer 2

Option D.

Explanation:

Let
`b` the number of bouquets created, which is a positive variable, and
`f(b)` the number of roses remaining, which is positive also.

The maximum number of roses remaining happens when there are no bouquets created. Hence:

`f_(max) = 288 - 12\cdot (0)`

`f_(max) = 288`

And the minimum number of roses remaining occurs when the amount of bouquets created is maximum:

`0 = 288 - 12\cdot b_(max)`

`12\cdot b_(max) = 288`

`b_(max) = 24`

The domain of the function is every integer between 0 and 24, and the range is every interger between 0 and 288. The right answer is D.