Answer:
(a) as x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞
Explanation:
You want to know the end behavior of the 4th-degree function shown in the graph.
Arrows on the graph
The graph has an arrow on each end of the curve shown in the figure. The left arrow points upward, indicating a tendency to +∞ as x gets more negative.
The right arrow also points upward, indicating a tendency to +∞ as x gets more positive.
As x → -∞, f(x) → ∞ and as x → ∞, f(x) → ∞.