F(x)=-3x^4+7x^2-x+5 end behavior of the graph

The end behavior on both sides of this graph is down towards negative infinity.

In order to find this, we look for the term with the highest power. If that power is even, the two ends do the same thing.

Then we look to the coefficient of that first term. If the coefficient is negative, then the end behavior is always down.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)