Algebra 1 EOC Review - Domain and Range A2(A)/A6(A)

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What is the definition of Domain in a function?

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The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

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What is the definition of Range in a function?

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The range of a function is the complete set of possible values of the dependent variable (usually y) that results from using the function.

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How do you determine the domain of a function from a graph?

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The domain can be determined by identifying the x-values that the graph covers. It includes all x-values for which the function has a corresponding y-value.

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How do you determine the range of a function from a graph?

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The range can be determined by identifying the y-values that the graph covers. It includes all y-values that correspond to the x-values in the domain.

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It means that the function is defined for all x-values from -5 to 5, including -5 but not including 5.

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It means that the function outputs y-values starting from 0 up to, but not including, 10.

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The domain is all x-values greater than -3 and less than or equal to 5.

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The range is all y-values starting from -6 up to, but not including, 9.

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This indicates that the function can only output the specific values 2, 4, 6, 8, and 10.

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What is the significance of closed and open intervals in domain and range?

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Closed intervals include the endpoints (e.g., [a, b]), while open intervals do not include the endpoints (e.g., (a, b)). This affects which values are included in the domain or range.