Algebra 2 Chapter 8 Flashcards
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Questions and Answers

What is combined variation?

  • When one quantity varies directly with respect to two or more quantities. (correct)
  • A type of rational expression.
  • When two quantities are inversely related.
  • When one quantity varies directly with respect to a single quantity.
  • 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.

    <p>A relationship in which one variable quantity increases as another variable quantity also increases.</p> Signup and view all the answers

    What is a horizontal asymptote?

    <p>A line that can be crossed, and the graphs follow it on the far left and far right.</p> Signup and view all the answers

    What is a hyperbola?

    <p>f(x) = 1/x.</p> Signup and view all the answers

    What is inverse variation?

    <p>A relationship in which one variable quantity increases as another variable quantity decreases.</p> Signup and view all the answers

    Define joint variation.

    <p>A relationship that occurs when a quantity varies directly with the product of two or more other quantities.</p> Signup and view all the answers

    What is an oblique asymptote?

    <p>An asymptote that is neither horizontal nor vertical.</p> Signup and view all the answers

    What is a point of discontinuity?

    <p>A point where the function is not continuous.</p> Signup and view all the answers

    What is a rational equation?

    <p>An equation containing one or more rational expressions.</p> Signup and view all the answers

    Define a rational expression.

    <p>The quotient of two polynomials.</p> Signup and view all the answers

    What is a rational function?

    <p>A function which is the ratio of two polynomials.</p> Signup and view all the answers

    What is a rational inequality?

    <p>Inequalities that contain one or more rational expressions.</p> Signup and view all the answers

    What is the reciprocal function?

    <p>The parent function for the function family of inverse variation equations.</p> Signup and view all the answers

    Define a vertical asymptote.

    <p>A line that can't be crossed, where the graphs follow the line.</p> Signup and view all the answers

    What is a weighted average?

    <p>The mean of a set of numbers in which some numbers carry more weight than others.</p> Signup and view all the answers

    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.

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