Question

Describe the end behavior of the function: y = -2x³ + x4 + 1 A. Even positive B. Odd positive C. Even negative D. Odd negative

Answer 1

Even positive

Explanation:

Given

`f(x) = -2x^3 + x^4 + 1`

Required

The end behavior

We have:

`f(x) = -2x^3 + x^4 + 1`

Rewrite as:

`f(x) = x^4 -2x^3 + 1`

To describe the end behavior, we check the leading coefficient and the degree of the function.

We have:

Leading Coefficient = 1 (i.e. the coefficient of
`x^4`)

Degree = 4 (i.e. the power of
`x^4`)

The degree of the function is even (i.e. 4)

The leading coefficient is positive (i.e. 1)

Hence, the end behavior is Even positive