Algebra 2 - Semester 1 Review

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What is a one-to-one function?

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A function is one-to-one if each output is produced by exactly one input, meaning no two different inputs produce the same 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 every input (x-value) has exactly one output (y-value).

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What is the solution to the system of equations represented by the point (1, 2)?

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What is end behavior in functions?

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End behavior describes how the values of a function behave as the input approaches positive or negative infinity.

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As x approaches positive infinity, y approaches negative infinity, and as x approaches negative infinity, y also approaches negative infinity.

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What is the difference between a function and a one-to-one function?

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A function can have multiple inputs mapping to the same output, while a one-to-one function has unique outputs for each input.

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How can you determine if a graph represents a function?

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Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

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What is the significance of the point of intersection in a system of equations?

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The point of intersection represents the solution to the system, where both equations are satisfied simultaneously.

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What is a quadratic function?

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