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This Book offers visuals, definitions, and audio explanations of 8th-grade math terms. All vocab words are aligned with Big Ideas Math.

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What are Linear and Nonlinear Equations?

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AKA Domain is the first number (x-value) in a table or ordered pair to which you apply a function rule.

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AKA Range is the second number (y-value) in a table, or ordered pair that has a math rule applied to it.

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Pair inputs with outputs using ordered pairs and/or a mapping table. The above ordered pairs represent a relation.

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Comparing Linear & Nonlinear Functions Notes

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7.4 ~ Comparing Linear & Nonlinear Functions Notes

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7.2 ~ Representations of Functions Notes

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A relation that pairs each input with exactly one output. The above mapping table represents a function because each input has one unique output.

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Diagram used to represent a relation. Uses arrows to pair inputs and outputs.

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An equation that describes the relationship between inputs (independent variables) and outputs (dependent variables).

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Variable that changes in response to another variable. Think of this as the "effect" and y-variable.

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Variable that changes freely and determines the dependent variable. Think of this as the "cause" and x-variable.

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A function whose graph is a straight line. A linear function can be written in y = mx + b form, where m is the slope and b is the y-intercept. In the example below, f(x) represents y and is written in function notation.

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DOES NOT have a constant rate of change, so its graph is NOT A LINE. Each of the examples above displays a nonlinear function.

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If x is the independent variable and y is the dependent variable, then function notation for y is f(x), read “f of x,” where f names the function.

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7.5 ~ Analyzing & Sketching Graphs Notes