Question

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

Explanation:

Step1: Analyze right - hand end behavior

As \(x\) approaches positive infinity (\(x
ightarrow\infty\)), looking at the right - most part of the graph, the \(y\) - values are going downwards. So \(y
ightarrow-\infty\).

Step2: Analyze left - hand end behavior

As \(x\) approaches negative infinity (\(x
ightarrow-\infty\)), looking at the left - most part of the graph, the \(y\) - values are going downwards. So \(y
ightarrow-\infty\).

Answer:

as \(x
ightarrow\infty,y
ightarrow-\infty\) and as \(x
ightarrow-\infty,y
ightarrow-\infty\)