Question

1. consider the function shown in the graph below.

what is the end behavior of this function?
select the two correct options.
as ( x
ightarrow-infty, f(x)
ightarrow infty ) as ( x
ightarrow infty, f(x)
ightarrow infty )
as ( x
ightarrow-infty, f(x)
ightarrow 1 ) as ( x
ightarrow infty, f(x)
ightarrow 0 )
as ( x
ightarrow-infty, f(x)
ightarrow-infty ) as ( x
ightarrow infty, f(x)
ightarrow-infty )

Explanation:

Step1: Analyze the left - hand end behavior

As \(x\) approaches \(-\infty\), looking at the left - most part of the graph, the function values go up. So, as \(x\to-\infty\), \(f(x)\to\infty\).

Step2: Analyze the right - hand end behavior

As \(x\) approaches \(\infty\), looking at the right - most part of the graph, the function values go up. So, as \(x\to\infty\), \(f(x)\to\infty\).

Answer:

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