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What is a function?

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A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

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What is the rate of change in a linear function?

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The rate of change in a linear function is the slope, which represents how much the output (y) changes for a unit change in the input (x).

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What is a nonlinear function?

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A nonlinear function is a function that does not have a constant rate of change, meaning its graph is not a straight line. Examples include quadratic functions, exponential functions, etc.

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What is the difference between a function and a relation?

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A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.

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What does it mean for a relation to be a function?

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A relation is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

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What is the slope-intercept form of a linear equation?

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How do you determine if a relation is a function from a table of values?

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To determine if a relation is a function from a table, check if any x-value is repeated with different y-values. If it is, then it is not a function.

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What is the graph of a linear function?

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The graph of a linear function is a straight line that can either slope upwards, downwards, or be horizontal.

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What is an example of a quadratic function?

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