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What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different parts of its domain.

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CCSS.HSF-IF.C.7B

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How do you determine the value of a piecewise function at a specific point?

Back

To determine the value, identify which piece of the function applies to that point and use the corresponding expression.

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CCSS.HSF.IF.A.2

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What does the term 'domain' refer to in functions?

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

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What does the term 'range' refer to in functions?

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The range is the set of all possible output values (y-values) for a function.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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If a piecewise function has a condition 'x < 0', what does it mean?

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It means that the expression for the function applies only when x is less than 0.

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What is the maximum distance in a piecewise function context?

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The maximum distance refers to the farthest point from the starting point within the defined intervals of the function.

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How do you calculate total time elapsed in a piecewise function scenario?

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Add the time intervals from each piece of the function to find the total time elapsed.

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What is the significance of the point where a piecewise function changes?

Back

This point is called a 'breakpoint' and indicates where the function's rule changes.

Tags

CCSS.HSF-IF.C.7B

Front

How can you represent a piecewise function graphically?

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A piecewise function can be represented with different line segments or curves on a graph, each corresponding to a different piece of the function.

Tags

CCSS.HSF-IF.C.7B

Front

What is an example of a real-world application of piecewise functions?

Back

Calculating shipping costs that vary based on weight ranges is an example of a piecewise function.