Step-by-step explanation
Since it takes 3 minutes to warm up, and then 6 minutes to make a coffee, we can apply the following relationship:

Where c represents the number of coffees.
Plugging in 12 cups into the equation:
 M(c) = 6 + 3*12 = 42 
-It will take 42 minutes to make 12 cups of coffee.
In 45 minutes, we can get the amount of cups of coffee obtained by plugging the value into the equation:

Isolating the value of c:

Subtracting numbers:

-He can make 13 cups of coffee in 45 minutes.
-The domain of the function is represented by all the Real Numbers.
- The range of the function is represented by all the Real Numbers.
The table is as follows:
  Coffee Minutes
 0 6
 1 3
 2 12
 3 15