Question

Which describes the end behavior of the polynomial function?

(graph below)

A.) as x→±∞, f(x)→1
B.) as x→-∞, f(x)→8, and as x→∞, f(x)→8
C.) as x→+∞, f(x)→-∞, and as x→-∞, f(x)→+∞
D.) as x→+∞, f(x)→+∞, and as x→-∞, f(x)→-∞

Answer 1

As x→+∞, f(x)→+∞, and as x→-∞, f(x)→-∞

Explanation:

From the gragh it is clear as x tend to +∞, the f(x) tends to +∞.

And as x tends to -∞, f(x) tends to -∞.

Therefore, x→+∞, f(x)→+∞, and as x→-∞, f(x)→-∞