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Use the graph of the rational function to complete the following statement.

Use The Graph Of The Rational Function To Complete The Following Statement class=

Sagot :

Using the graph of the function, it is found that the lateral limits of the function are as follows:

  • As [tex]x \rightarrow 1^{+}[/tex], [tex]f(x) \rightarrow -\infty[/tex].
  • As [tex]x \rightarrow 1^{-}[/tex], [tex]f(x) \rightarrow \infty[/tex].

What are the lateral limits of the function at x = 1?

For [tex]x \rightarrow 1^{+}[/tex], we look at the values slightly greater than 1, that is, to the right of x = 1, for which the function goes to negative infinity, hence [tex]f(x) \rightarrow -\infty[/tex].

For [tex]x \rightarrow 1^{-}[/tex], we look at the values slightly less than 1, that is, to the left of x = 1, for which the function goes to infinity, hence [tex]f(x) \rightarrow \infty[/tex].

More can be learned about lateral limits at https://brainly.com/question/26270080

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