#6 **Problem 6:**\[ p(x) = \frac{x^2 - 2x - 1}{x - 4} \]This function represents a rational expression where the numerator is a quadratic polynomial \(x^2 - 2x - 1\) and the denominator is a linear polynomial \(x - 4\).### Key Points to Consider:- **Domain**: The function is defined for all real numbers except where the denominator is zero. Therefore, \(x \neq 4\) to avoid division by zero. - **Behavior**: This type of function may have vertical asymptotes at values excluded from the domain (in this case, \(x = 4\)) and may also have a slant or curved asymptote depending on the degree difference between the numerator and denominator.- **Simplification**: Check if the quadratic polynomial can be factored, and whether these factors reveal further characteristics of the function, such as holes or additional asymptotes.This transcription can assist learners in understanding the structure and characteristics of rational functions.

Name: #6 **Problem 6:**\[ p(x) = \frac{x^2 - 2x - 1}{x - 4} \]This function
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: #6 **Problem 6:**\[ p(x) = \frac{x^2 - 2x - 1}{x - 4} \]This function represents a rational expression where the numerator is a quadratic polynomial \(x^2 - 2x - 1\) and the denominator is a linear polynomial \(x - 4\).### Key Points to Consider:- **