Advanced Algebra - Final Exam Review

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What is exponential growth?

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Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time. An example is the function y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

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How can you identify a linear relationship from a table of values?

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A linear relationship can be identified if the difference between consecutive y-values is constant as x increases. For example, in the table x: 0, 1, 2, 3 and y: 2, 7, 12, 17, the differences (5, 5, 5) are constant, indicating a linear relationship.

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What is the definition of a quadratic function?

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What is the difference between linear and quadratic functions?

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Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

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What is the standard form of a quadratic equation?

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What is the vertex of a parabola?

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What is the significance of the discriminant in a quadratic equation?

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