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,...
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd48d671a-5c0b-4ffc-a1c6-6f75963436d5%2F54bce97a-2562-46b8-aa8c-e9c0cf494703%2Fhjd6ejg_processed.jpeg&w=3840&q=75)
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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