If y = 2x - 8 what is the minimum value of the product xy

the minimum value of product  is -8

Step-by-step explanation:

We have been given the function y = 2x-8 and we have to find the minimum value of the xy.

Plugging the value of y in the product

f(x) represents a upward parabola and we know that for a upward parabola, the minimum point is the vertex.

So in order to find the minimum value we find the y coordinate of the vertex of the parabola.

x-coordinate of the parabola is given by

y -coordinate of the parabola is

Hence, the vertex is (2,-8)

Therefore, the minimum value of product  is -8