Final answer:
The initial value of the function f(x) = -75x + 1,200 is $1,200, which represents the purchase value of the cell phone.
Step-by-step explanation:
The initial value of the function f(x) = -75x + 1,200 represents the value of your cell phone when x months after you purchase it.
To identify and interpret the initial value, we set x to 0, which gives us f(0) = -75(0) + 1,200 = 1,200.
Therefore, the initial value of the function is $1,200, indicating that the cell phone value starts at $1,200 at the time of purchase, before any depreciation.