Question

Use the key features of the polynomial f(x) = −4x4 + 4x3 + 9x2 − 12x + 10 to describe its end behavior.

The left side continues up, and the right side continues up.
The left side continues down, and the right side continues down.
The left side continues up, and the right side continues down.
The left side continues down, and the right side continues up.

Answer 1

B.) The left side continues down, and the right side continues down.

Explanation:

if you solve f(x) =-4x^4 + 4x^3 + 9x^2 -12x + 10 its f(0)=10 and you graph that and you get BThe left side continues down, and the right side continues down.

Answer 2

The left side continues down, and the right side continues down.

Explanation:

The end behavior of the polynomial is ruled by the value of highest order coefficient and the order of the polynomial. An even order indicates the same behaviour on both sides and the sign of the highest order coefficient indicate if function goes up (positive) or down (negative).

In this case, left and right continues down.