Write the attributes, given then equations

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Write the attributes, given then equations 

The image displays a mathematical function expressed as a rational equation. 

### Mathematical Function:

\[ y = \frac{3}{4} \cdot \frac{1}{(x+9)(x-10)} \]

This equation represents a rational function involving a numerator of \(\frac{3}{4}\), which is a constant, and a denominator that is the product of two binomials, \((x + 9)\) and \((x - 10)\). 

### Explanation:

- **Numerator**: The constant value \(\frac{3}{4}\).
  
- **Denominator**: The expression \((x + 9)(x - 10)\) indicates there are potential vertical asymptotes at \(x = -9\) and \(x = 10\), where the function is undefined.

This function can be used to explore concepts such as vertical asymptotes, undefined points, and the overall behavior of rational functions in algebra or pre-calculus courses.
Transcribed Image Text:The image displays a mathematical function expressed as a rational equation. ### Mathematical Function: \[ y = \frac{3}{4} \cdot \frac{1}{(x+9)(x-10)} \] This equation represents a rational function involving a numerator of \(\frac{3}{4}\), which is a constant, and a denominator that is the product of two binomials, \((x + 9)\) and \((x - 10)\). ### Explanation: - **Numerator**: The constant value \(\frac{3}{4}\). - **Denominator**: The expression \((x + 9)(x - 10)\) indicates there are potential vertical asymptotes at \(x = -9\) and \(x = 10\), where the function is undefined. This function can be used to explore concepts such as vertical asymptotes, undefined points, and the overall behavior of rational functions in algebra or pre-calculus courses.
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