Question

what is the end - behavior of the graph below? (choose 2 answers) a) as (x\to-infty), (f(x)\to+infty) b) as (x\to+infty), (f(x)\to-infty) c) as (x\to-infty), (f(x)\to-infty)

Explanation:

Step1: Analyze left - hand end behavior

Looking at the graph, as \(x\) approaches negative infinity (\(x
ightarrow-\infty\)), the graph is going up, so \(f(x)
ightarrow+\infty\).

Step2: Analyze right - hand end behavior

As \(x\) approaches positive infinity (\(x
ightarrow+\infty\)), the graph is also going up, so \(f(x)
ightarrow+\infty\).

Answer:

A. As \(x
ightarrow-\infty\), \(f(x)
ightarrow+\infty\); C. As \(x
ightarrow+\infty\), \(f(x)
ightarrow+\infty\)