Algebra 2 Midterm Review

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What is the domain and range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

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Domain: {0, 1, 2, -4}, Range: {1, -3, -4}.

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This parabola has a maximum value.

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Define a multi-step inequality.

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A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

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What is the difference between a function and a relation?

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A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

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How do you solve a multi-step inequality?

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To solve a multi-step inequality, isolate the variable by performing inverse operations, maintaining the inequality sign, and reversing it when multiplying or dividing by a negative number.

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What is the significance of the vertex in a parabola?

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The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

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What does it mean for a function to be increasing or decreasing?

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A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

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What is the standard form of a quadratic equation?

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