wouldnt just using a graping calculator and inputing it in make life sooo much easier?
Well, what do you KNOW about functions? Can I presume that you know how to factor?
Function (1), obviously has zeros at x= 0, 2, and -2 and only at those points. Only graphs A and D have that property. For x> 2, all factors, x, x-2, and x+2, are positive so, because of the "-" in front, the f(x)< 0 for x> 2 and only D has that property.
Function (2), has zeros at x= 0, x= 2, x= -2, x= 1, and x= -1. C is the only graph that has that property.
Function (3), has zeros only at x= 0 and x= 2 (and a double root at x= 0 so the graph is tangent to the x-axis at x= 0). B is the only graph having that property.
Function (4), has zeros at x= 0, x= 2, and x= -2 and, as with (1), A and D have that property. But now, for x> 2, f(x)> 0 and only A has that property.