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.

Answer 1

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.