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Name: 6th six weeks test revalidate: Period: Rational Functions 2 +231. Find the coordinate of the hole for the function 2 6+5. 2 42. What is the domain of the function () 2 6+8 written in interval
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How to fill out rational functions - birdvilleschoolsnet
01
To fill out rational functions, follow these steps:
02
Start by factoring the numerator and denominator of the rational function, if needed.
03
Identify any restrictions on the rational function. These restrictions occur when the denominator equals zero. Exclude any values that make the denominator zero from the domain of the function.
04
Simplify the rational function by canceling out common factors, if possible.
05
Determine the vertical asymptotes of the function by setting the denominator equal to zero and solving for x.
06
Determine the horizontal asymptotes of the function by comparing the degrees of the numerator and denominator.
07
Analyze the behavior of the function near the asymptotes.
08
Plot any x-intercepts and y-intercepts of the function.
09
Use the information gathered to sketch the graph of the rational function.
Who needs rational functions - birdvilleschoolsnet?
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Rational functions are commonly used in various fields, including:
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- Mathematics: Rational functions are fundamental in algebra and calculus, where they are used to model real-life situations, solve equations, and analyze functions.
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- Physics: Rational functions can represent relationships between physical quantities, such as velocity and time, or resistance and current.
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- Engineering: Rational functions are used in circuit analysis, control systems, signal processing, and other engineering applications.
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- Economics: Rational functions are utilized in economic modeling and optimization problems.
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- Biology: Rational functions are used to model population growth, decay, and other biological processes.
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- Finance: Rational functions are employed in financial modeling, risk assessment, and portfolio management, among other financial applications.
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