The function f (x) = −75x + 1,200 represents the value of your cell phone x months after you purchase it. Identify and interpret the initial value of the function.
The initial value of the function represents the value of the cell phone at the moment of purchase, or when x = 0.
In this case, when x = 0, the function becomes f(0) = -75(0) + 1200 = 1200.
Therefore, the initial value of the function is 1200, which means that the cell phone was worth $1200 when it was purchased.