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PreCalculus Name: Rational Functions Section 3.3 Date: I. Definition: Rational Expressions A rational expression is a ratio where there is a polynomial in the numerator and one in the denominator

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How to fill out ratl funct-vertical horiz asymptotes

How to fill out ratl funct-vertical horiz asymptotes:

01

Start by understanding the concept of rational functions, which are functions that can be written as the quotient of two polynomials.

02

To find the vertical asymptote(s) of a rational function, set the denominator equal to zero and solve for x. The vertical asymptote(s) will be the values of x that make the denominator equal to zero.

03

To find the horizontal asymptote of a rational function, compare the degree of the numerator and the degree of the denominator.

3.1

If the degree of the numerator is lower than the degree of the denominator, the horizontal asymptote is y = 0.

3.2

If the degree of the numerator is equal to the degree of the denominator, divide the leading coefficient of the numerator by the leading coefficient of the denominator to find the horizontal asymptote.

3.3

If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

04

Lastly, it is important to consider who needs to understand rational function-vertical horizontal asymptotes. This concept is essential for anyone studying calculus, advanced algebra, or higher-level math. It is particularly important for individuals who need to analyze and graph rational functions, such as scientists, engineers, economists, or researchers in various fields.

Overall, understanding how to fill out rational functions, including finding the vertical and horizontal asymptotes, is crucial for anyone working with or studying advanced math concepts.

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What is ratl funct-vertical horiz asymptotes?

A rational function may have vertical and horizontal asymptotes.

Who is required to file ratl funct-vertical horiz asymptotes?

Individuals or entities required to report rational functions with vertical and horizontal asymptotes.

How to fill out ratl funct-vertical horiz asymptotes?

Provide the relevant mathematical equations and information for the rational function.

What is the purpose of ratl funct-vertical horiz asymptotes?

To analyze the behavior of the function as it approaches certain values.

What information must be reported on ratl funct-vertical horiz asymptotes?

Details on the equations, asymptotes, and behavior of the function.

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