Question

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

Answer 1

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

• As $x \rightarrow 1^{+}$, $f(x) \rightarrow -\infty$.

• As $x \rightarrow 1^{-}$, $f(x) \rightarrow \infty$.

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

For $x \rightarrow 1^{+}$, 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 $f(x) \rightarrow -\infty$.

For $x \rightarrow 1^{-}$, 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 $f(x) \rightarrow \infty$.

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