How to solve this problem
Mathematics
MissBella8
Question
How to solve this problem
1 Answer

1. User Answers mreijepatmat
f(x)=6x²6x+128
1) This parabola has a maximum (open down) since the coefficient of x² (that is 6) is positive.
2) It doesn't intercepts the xaxis since its roots are imaginary :
x' =4.292 i & x" = 4.592 i
3) its axis of symmetry = b/2a = 1/2 ===> x= 1/2
The tan at the minimum ===> dy/dx = 12x6 ===>(x=1/2), dy/dx =0
This parabola is decreasing in the interval ]x=∞, 0[ ∪ ]0, ∞[
minimum (1/2, 126.5)