Question

Use the key features of the polynomial f(x) = -4x^4 + 4x^3 + 9x^2 – 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

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

Explanation:

f(x) = -4x⁴ + 4x³ + 9x² – 12x + 10

The leading term (-4x⁴) has an even exponent and a negative coefficient.

Since the exponent is even, the left and right ends will continue in the same direction.

Since the coefficient is negative, both ends will continue down.