Answer:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.
Explanation:
f(x) = -x - 2x³ + 3x + 9
f(x) = -2x³ + 3x - x+ 9
f(x) = -2x³ + 2x+ 9
Look at the highest exponent(which is 3).
SInce the highest exponent is odd, that means that the graph approaches infinity in a different direction as per negative infinity. Since the highest exponent has a negative sign:
The graph is going UP as x-values get SMALLER ( To -∞)
The graph is going DOWN as x-values get LARGER ( To ∞)
Hence:
The graph increases as it approaches -∞.
The graph decreases as it approaches ∞.