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Eric claims that the end behavior of all linear functions is the same. Is Eric's claim correct? Why or why not?

As x approaches negative infinity y approaches negative infinity, and as x approaches, infinity y approaches infinity.

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Answer:

No, because that is the end behavior of a positive linear function. Negative, undefined and zero slope linear equations all have different end behaviors.

Step-by-step explanation:

Cricetus

Eric's claim is not correct. A further explanation is provided in the below paragraph.

Consider their are two linear functions, such as:

  • [tex]f(x) = x[/tex]

and,

  • [tex]f(x) = -x[/tex]

As the first function "[tex]f(x) = x[/tex]",

→ [tex]x \rightarrow - \infty[/tex]

or,

→ [tex]x \rightarrow + \infty[/tex]

and the second function "[tex]f(x) = -x[/tex]",

→ [tex]x \rightarrow = -\infty[/tex]

or,

→ [tex]x \rightarrow + \infty[/tex]

We can see that the end behavior of the functions are not same.

Thus the above answer is correct.

Learn more:

https://brainly.com/question/13632376

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