Question

Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function with its graph.

Answer 1

we have

f(x)=2x^4-4x^2

REmember that

The Leading Coefficient Test is the test which enables you to discover thebehavior of the graph in terms of rising and falling. This test utilizes the leading coefficientand whether the degree is odd or even to determine the behavior of the curves. The test goes as follows:

In this problem the leading coefficient is positive and even

so

the graph rises to the left and rises to the right.