find the maximum valu of any of the function without using derivatives 16x+8x+7
assuming you meant
16x^2 + 8x + 7, it's just a parabola, with its vertex at x = -b/2a = -8/32, or -1/4
So, just evaluate f(-1/4) to find the minimum.
Since the coefficient of x^2 is positive, there is no maximum. Of course, there may be other typos hiding in there.