## Algebra II Applied

##### Created by:

kennem Teacher on February 2, 2010

##### Description:

These flashcards are generated in support of Deering High School's Algebra II Applied Class, Unit 1 Vocabluary.

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# Algebra II Applied

 FunctionA function is a relationship between two quantities in which one quantity is associated with a unique value of the other quantity.
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#### Definitions

Function A function is a relationship between two quantities in which one quantity is associated with a unique value of the other quantity.
Direct Variation In a direct variation, the ratio of the value of the dependent variable to the value of the independent variable is constant.
Proportional A proportional relationship is a relationship between two changing quantities in which the ratio between the two quantities remains constant.
Constant of Proportionality The constant of proportionality is the name given to the ratio of two proportional quantities. If x and y represent two proportional quantities, then ￼y/x=k where k is the constant of proportionality. This can also be written as ￼y = x*k
Constant of Variation The constant of variation is the nonzero ratio between two variables in a direct variation or the nonzero product of two variables in an inverse variation.
Inverse Variation In inverse variation, the product of the value of the independent variable and the value of the dependent variable is constant. This is written as ￼x*y, or ￼y=k/x.
Absolute Variation The absolute value of a number is the distance between 0 and the number on a number line. As shown on the number line in the image, the absolute value of 3 is 3. This is written | 3 | = 3. The absolute value of -3 is also 3; | -3 | = 3.
Horizontal Asymptote The horizontal line y = c￼ is a horizontal asymptote of a function if the values of the function approach the constant c as the positive values of x grow larger or the negative values of x grow smaller.

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