Question

answer
as ( x
ightarrow-infty, f(x)
ightarrow-infty ) and
as ( x
ightarrow infty, f(x)
ightarrow-infty )
as ( x
ightarrow-infty, f(x)
ightarrow-infty ) and
as ( x
ightarrow infty, f(x)
ightarrow infty )
as ( x
ightarrow-infty, f(x)
ightarrow infty ) and
as ( x
ightarrow infty, f(x)
ightarrow infty )
as ( x
ightarrow-infty, f(x)
ightarrow infty ) and
as ( x
ightarrow infty, f(x)
ightarrow-infty )

Explanation:

Step1: Analyze the left - hand end behavior

Looking at the left - hand side of the graph (as \( x\) approaches \(-\infty\)), the graph is going downwards. So, as \( x\to-\infty\), \( f(x)\to-\infty\)

Step2: Analyze the right - hand end behavior

Looking at the right - hand side of the graph (as \( x\) approaches \(\infty\)), the graph is going downwards. So, as \( x\to\infty\), \( f(x)\to-\infty\)

Answer:

as \( x \to -\infty, f(x) \to -\infty \) and as \( x \to \infty, f(x) \to -\infty \)