Question

Examine the end behavior of function f(x) as shown in the graph.

What is the correct description of the end behavior of f(x)?

As x→∞, f(x)→−∞, and as x→−∞, f(x)→∞.
As x→∞, f(x)→∞, and as x→−∞, f(x)→∞.
As x→∞, f(x)→∞, and as x→−∞, f(x)→−∞.
As x→∞, f(x)→−∞, and as x→−∞, f(x)→−∞.

Answer 1

As x→∞, f(x)→∞, and as x→−∞, f(x)→∞.

Explanation:

because as x increases, it goes up into the positive y direction

because as x decreases, it goes up into the positive y direction