Intro to Linear Functions Unit Vocab

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Rate of Change

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The rate of change measures how much one quantity changes in relation to another. In linear functions, it is represented by the slope, indicating how quickly one variable changes compared to another.

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Constant Ratio

Back

A constant ratio refers to a relationship where two quantities maintain a fixed relationship, often seen in direct variation. In linear functions, this implies that the slope remains unchanged across the graph.

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Constant Difference

Back

A constant difference refers to the consistent amount by which a quantity increases or decreases. In linear functions, this is reflected in the vertical change of the graph between points, indicating that the output changes by the same amount for each equal change in the input.

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Geometric Sequence

Back

A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

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Arithmetic Sequence

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A sequence of numbers in which the difference between consecutive terms is constant. This constant difference can be added to each term to find the next term in the sequence.

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Non-Linear Relationship

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A relationship between two variables that does not create a straight line when graphed. This often involves curves or varying rates of change.

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Sequence

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An ordered list of numbers that follows a particular pattern or rule. Sequences can be arithmetic, geometric, or follow other specific rules.

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Intervals of Increase

Back

Intervals of increase refer to the sections of a graph where the output values (or y values) rise as the input values (or x values) increase. This indicates that the function is growing in that range.

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Intervals of Decrease

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Intervals of decrease refer to the sections of a graph where the output values (or y values) fall as the input values (or x values) increase. This indicates that the function is shrinking in that range.

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Linear

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This term refers to anything related to a straight line. A linear relationship can be represented as a straight line on a graph, indicating that one variable changes at a constant rate with respect to another.