Answered

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1
2
X
-5
-4
-3
2
1
0
1
2
3
6
f(x)
-6
-2
0
4
4
0
-2
-6
-10
Based on the table, which best predicts the end
behavior of the graph of f(x)?
O As x, f(x)→∞, and as x→→∞, f(x)→∞.
O As x→∞, f(x)→∞, and as x→∞, f(x)→→∞
O As x, f(x)→∞, and as x→→∞, f(x)→∞
O As x→∞, f(x)→∞, and as x→∞, f(x)→
818

Sagot :

The statement that best describes the end behavior of the graph is given as follows:

As [tex]x \rightarrow -\infty, f(x) \rightarrow -\infty[/tex], and as [tex]x \rightarrow -\infty, f(x) \rightarrow \infty[/tex].

What is the end behavior of a function?

It is given by it's limits as x goes to negative and positive infinity.

From the given table, it is found that f(x) starts with negative values, increases until it's maximum value then decays again, hence the correct statement is:

As [tex]x \rightarrow -\infty, f(x) \rightarrow -\infty[/tex], and as [tex]x \rightarrow -\infty, f(x) \rightarrow \infty[/tex].

More can be learned about the end behavior of a function at https://brainly.com/question/22026723

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