Answer:
6. B
7. A
8. A
9. A
Explanation:
6. As x approaches ∞ (as x goes to the right), y approaches ∞ (y goes up).
7. f(x) = -x⁴ + 5x³ − 2x + 5
The leading coefficient is negative, and the highest power is 4 which is even. So as x→-∞, f(x)→-∞, and as x→∞, f(x)→-∞.
8. The roots are 3, -4, and 1, so the polynomial is:
f(x) = (x − 3) (x − (-4)) (x − 1)
f(x) = (x − 3) (x + 4) (x − 1)
9. The roots are 0 (multiplicity of 1), 1 (multiplicity of 2), and -2 (multiplicity of 2).
f(x) = (x − 0)¹ (x − 1)² (x − (-2))²
f(x) = x (x − 1)² (x + 2)²