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

Answer:

Option D.

Step-by-step 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.