Questions and Answers
What is combined variation?
What is a complex fraction?
A rational expression whose numerator and/or denominator contains a fraction.
What is the constant of variation (K)?
K = constant of variation.
Define direct variation.
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What is a horizontal asymptote?
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What is a hyperbola?
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What is inverse variation?
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Define joint variation.
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What is an oblique asymptote?
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What is a point of discontinuity?
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What is a rational equation?
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Define a rational expression.
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What is a rational function?
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What is a rational inequality?
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What is the reciprocal function?
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Define a vertical asymptote.
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What is a weighted average?
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Study Notes
Combined Variation
- Describes scenarios where one variable changes directly in relation to two or more other variables.
Complex Fraction
- Defined as a rational expression that includes a fraction within its numerator and/or denominator.
Constant of Variation
- Represented as K, it indicates the rate at which one quantity varies in relation to another.
Direct Variation
- A mathematical relationship where an increase in one variable leads to an increase in another, represented by the equation Y = kX.
Horizontal Asymptote
- A line that may be intersected by a graph, which approaches the line on the left and right sides but does not necessarily stay close.
Hyperbola
- Defined by the equation f(x) = 1/x, serving as the reciprocal function in algebra.
Inverse Variation
- Illustrates a relationship where one variable increases while the other decreases, maintaining a constant product, expressed by the equation y = k/x.
Joint Variation
- A form of variation where a variable changes directly in proportion to the product of two or more other variables.
Oblique Asymptote
- Also known as a slant asymptote, it represents an asymptote that is neither horizontal nor vertical.
Point of Discontinuity
- Identified as a specific point where a function lacks continuity.
Rational Equation
- An equation featuring one or more rational expressions, often complex in nature.
Rational Expression
- Defined as the quotient of two polynomials, forming a fundamental aspect of rational functions.
Rational Function
- A function characterized by being the ratio of two polynomial expressions.
Rational Inequality
- A type of inequality that consists of one or more rational expressions, often requiring specific solutions.
Reciprocal Function
- The parent function of inverse variation equations, forming the basis for understanding this type of relationship.
Vertical Asymptote
- A line that a graph cannot cross, with the graph approaching the line without intersecting it.
Weighted Average
- The mean of a group of numbers, where some numbers are given more significance compared to others, affecting the overall average calculation.
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Test your knowledge on key concepts from Algebra 2 Chapter 8 with these flashcards. Each card features a term and its definition, helping you to reinforce your understanding of combined variation, complex fractions, and more. Perfect for exam preparation or quick revision.