Piecewise Functions

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What is a piecewise function?

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A piecewise function is a function that is defined by different expressions or formulas over different intervals of its domain.

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How do you determine the domain of a piecewise function?

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The domain of a piecewise function is the set of all possible input values (x) for which the function is defined, considering all pieces.

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What is the range of a function?

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The range of a function is the set of all possible output values (y) that the function can produce.

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What does it mean for a function to behave like a quadratic function?

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How do you find the range of a piecewise function?

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To find the range, evaluate the output values of each piece of the function over its domain and combine the results.

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What is the significance of the interval notation in domain and range?

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Interval notation is a way to represent the set of numbers in a range or domain, indicating whether endpoints are included (closed interval) or excluded (open interval).

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What is the difference between a closed interval and an open interval?

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How can you match a graph to its corresponding piecewise function?

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To match a graph to its piecewise function, analyze the behavior of the graph in different intervals and compare it to the expressions defined in the piecewise function.

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