Piecewise Functions Flashcard

Front

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

Front

How do you find the distance between two points?

Back

To find the distance between two points, use the distance formula: Distance = |x2 - x1| + |y2 - y1|.

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CCSS.HSG.GPE.B.7

Front

What does the term 'domain' mean in mathematics?

Back

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

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Front

What does the term 'range' mean in mathematics?

Back

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

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CCSS.8.F.A.1

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Front

How do you determine the maximum value of a piecewise function?

Back

To find the maximum value, evaluate the function at the endpoints and any critical points within the domain.

Tags

CCSS.HSF-IF.C.7B

Front

What is the significance of the x-axis in a graph?

Back

The x-axis represents the input values (independent variable) of a function.

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CCSS.8.F.A.1

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Front

What is the significance of the y-axis in a graph?

Back

The y-axis represents the output values (dependent variable) of a function.

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CCSS.8.F.A.1

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Front

How can you represent a piecewise function graphically?

Back

A piecewise function can be represented by drawing different line segments or curves for each piece of the function.

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CCSS.HSF-IF.C.7B

Front

What is the formula for calculating speed?

Back

Speed = Distance / Time.

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CCSS.6.EE.B.7

Front

If a boy rides his bicycle for 4 hours at a speed of 5 miles per hour, how far does he travel?

Back

Distance = Speed x Time = 5 miles/hour x 4 hours = 20 miles.

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CCSS.HSF-LE.A.1B