Question

the graph of y = f(x) is graphed below. what is the end - behavior of f(x)? answer 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) → -∞

Explanation:

Step1: Examine right - hand end behavior

As \(x\) approaches positive infinity (\(x
ightarrow\infty\)), we look at the right - most part of the graph. The graph is going downwards, so \(f(x)
ightarrow-\infty\).

Step2: Examine left - hand end behavior

As \(x\) approaches negative infinity (\(x
ightarrow-\infty\)), we look at the left - most part of the graph. The graph is going downwards, so \(f(x)
ightarrow-\infty\).

Answer:

As \(x
ightarrow\infty,f(x)
ightarrow-\infty\) and as \(x
ightarrow-\infty,f(x)
ightarrow-\infty\)