Answer:
Even positive
Step-by-step explanation:
Given
[tex]f(x) = -2x^3 + x^4 + 1[/tex]
Required
The end behavior
We have:
[tex]f(x) = -2x^3 + x^4 + 1[/tex]
Rewrite as:
[tex]f(x) = x^4 -2x^3 + 1[/tex]
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 [tex]x^4[/tex])
Degree = 4 (i.e. the power of [tex]x^4[/tex])
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
