Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Divide polynomials.
![The expression is a rational function represented by the fraction:
\[
\frac{4x^4 - 2x^3 + 6x - 9}{2x^2 - 3x + 4}
\]
**Numerator:**
- \(4x^4\) indicates the term with the highest degree in the numerator, which is four.
- \(-2x^3\) is a cubic term.
- \(6x\) is a linear term.
- \(-9\) is a constant term.
**Denominator:**
- \(2x^2\) is the quadratic term with the highest degree in the denominator, which is two.
- \(-3x\) is a linear term.
- \(+4\) is a constant term.
This function might be used to analyze properties such as domain, asymptotes, and behavior at infinity in mathematical contexts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24fae4ed-b1b1-4171-bba8-4d29349ae5e5%2Ffed6fdd8-6eff-4497-a49c-63607d76bd12%2F4tf584i_processed.png&w=3840&q=75)
Transcribed Image Text:The expression is a rational function represented by the fraction:
\[
\frac{4x^4 - 2x^3 + 6x - 9}{2x^2 - 3x + 4}
\]
**Numerator:**
- \(4x^4\) indicates the term with the highest degree in the numerator, which is four.
- \(-2x^3\) is a cubic term.
- \(6x\) is a linear term.
- \(-9\) is a constant term.
**Denominator:**
- \(2x^2\) is the quadratic term with the highest degree in the denominator, which is two.
- \(-3x\) is a linear term.
- \(+4\) is a constant term.
This function might be used to analyze properties such as domain, asymptotes, and behavior at infinity in mathematical contexts.
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