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Use the graph to determine which statement is true about the end behavior of f(x).


As the x-values go to negative infinity, the function’s values go to negative infinity.
As the x-values go to negative infinity, the function’s values go to positive infinity.
As the x-values go to positive infinity, the function’s values go to negative infinity.
As the x-values go to positive infinity, the function’s values go to zero.

Use the graph to determine which statement is true about the end behavior of f(x). As the x-values go to negative infinity, the function’s values go to negative class=

Answer :

tramserran

Answer:  B) As the x-values go to negative infinity, the function’s values go to positive infinity.

Step-by-step explanation:

As x goes to negative infinity (to the left) the y-values go up (toward positive infinity).

As x goes to positive infinity (to the right) the y-values go up (toward positive infinity). Note that this was not provided as an option.

Using limit concepts, it is found that the correct option about the end behavior of the function is:

  • As the x-values go to negative infinity, the function’s values go to positive infinity.

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  • The end behavior of a function f(x) is given by [tex]\lim_{x \rightarrow \infty} f(x)[/tex]
  • In the graph, we can see that when x goes both to negative and positive infinity, the function is growing, as y is pointing upwards, thus, [tex]\lim_{x \rightarrow \infty} f(x) = \infty[/tex], and thus, the correct option is the second one, that is:
  • As the x-values go to negative infinity, the function’s values go to positive infinity.

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