Advanced Algebra Cumulative Review Fall 2024

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What is the definition of a function?

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A function is a relation that assigns exactly one output for each input from a set of inputs.

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What is the domain of a function?

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the range of a function?

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The range of a function is the set of all possible output values (y-values) that the function can produce.

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How do you find the inverse of a function?

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To find the inverse of a function, swap the x and y variables and solve for y.

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What is the quadratic formula?

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What does it mean for a function to be continuous?

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A function is continuous if there are no breaks, jumps, or holes in its graph.

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What is a polynomial function?

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What is the difference between a rational function and an irrational function?

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A rational function is a ratio of two polynomials, while an irrational function involves roots that cannot be expressed as a ratio of polynomials.

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What is the vertex form of a quadratic function?

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

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