which functions have end behavior that goes up on both sides?

Question

A. f(x)=2(x+2)(x-1) B.f(x)=(x-1)2 -2 C.f(x)= (x-1)(x+3) D. f(x)=-(x+3)2 E. f(x)=-2x2-8x+3 F. f(x)=1/2x2-2

Answer 1

A. f(x)=2(x+2)(x-1)

B.f(x)=(x-1)² -2

C.f(x)= (x-1)(x+3)

D. f(x)=-(x+3)²

E. f(x)=-2x²-8x+3

F. f(x)=1/2x²-2

 

All are parabolas, so end behavior is same as extreme left & extreme right.

As for both going UP, that would be characteristic of A, B, C and E because their leading coefficient > 0.