PieceWise Functions Practice

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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 for different parts of its domain.

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How do you evaluate a piecewise function at a specific point?

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To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point based on its domain restrictions, and then use that expression to find the function's value.

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What does the notation f(x) mean in a piecewise function?

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In a piecewise function, f(x) represents the output value of the function for a given input x, which may depend on which piece of the function is applicable.

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What is the domain of a function?

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

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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, identify the x-values for which each piece of the function is defined and combine these intervals.

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What is a graph of a piecewise function?

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A graph of a piecewise function consists of multiple segments, each representing a different expression of the function over specific intervals of the x-axis.

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What does it mean for a piecewise function to have 'pieces'?

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The 'pieces' of a piecewise function refer to the different segments or expressions that define the function over various intervals of its domain.

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How do you determine the number of pieces in a piecewise function?

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The number of pieces in a piecewise function is determined by counting the different expressions or formulas that are defined for different intervals of the domain.

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What is a domain restriction in a piecewise function?

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A domain restriction in a piecewise function specifies the range of x-values for which a particular piece of the function is valid.

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How do you express domain restrictions using inequalities?

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