Question

which of the following correctly describes the end behavior of the polynomial function, f(x)=2x^4-3x^2+2x

Answer 1

Both ends go up.

Explanation:

Answer 2

The end-behavior of the given function is: "Both ends upward".

Explanation:

Given polynomial function is:
`f(x)=2x^4-3x^2+2x`

For determining the end-behavior of a polynomial function, first we need to identify the degree and leading coefficient.

Degree means the highest exponent to the variable in the function. So, here degree is 4.

Leading coefficient is the coefficient of the first term in the function. So, here the leading coefficient is 2.

Now the rule is: If the degree of the polynomial function is even and the leading coefficient is positive, then both ends of the graph of function will be in upward direction.

So, the end-behavior of the given function is: "Both ends upward".