Algebra 2H Unit 2 Review

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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 in the domain, there is one and only one y in the range.

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How can you determine if a mapping is a function?

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A mapping 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 solution to the system of equations: 3s + c = 38 and 3s + 2c = 52?

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The solution is s = 14 (senior ticket price) and c = 8 (child ticket price).

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What is the domain and range of a relation?

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The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

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What does it mean for a relation to have a specific domain and range?

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It means that the relation only includes the specified input values (domain) and output values (range) in its ordered pairs.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

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What is the graphical representation of a function?

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The graphical representation of a function is a curve or line on a coordinate plane that shows the relationship between the input (x) and output (y) values.