Determine the domain and range of a relation represented graphic

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What is the definition of the domain of a relation?

Back

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

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What is the definition of the range of a relation?

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The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

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How can you determine the domain from a graph?

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To determine the domain from a graph, identify the x-values that the graph covers. This includes all x-values where the graph has points.

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How can you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers. This includes all y-values where the graph has points.

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What does it mean if a graph is continuous?

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A continuous graph means that there are no breaks, holes, or gaps in the graph, and every x-value in the domain has a corresponding y-value.

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What does it mean if a graph is discrete?

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A discrete graph consists of separate points, meaning that not all x-values in the domain have corresponding y-values.

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What is an example of a function's domain?

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For the function f(x) = √x, the domain is x ≥ 0, since you cannot take the square root of a negative number.

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What is an example of a function's range?

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For the function f(x) = x^2, the range is y ≥ 0, since squaring any real number cannot produce a negative result.

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How do you find the domain of a piecewise function?

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To find the domain of a piecewise function, consider the domain of each piece and combine them, ensuring to account for any restrictions.

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What is a vertical line test?

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The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.