Step Functions

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What is a step function?

Back

A step function is a piecewise constant function that jumps from one value to another, typically represented using the ceiling or floor functions.

Front

What does the ceiling function do?

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-9

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-6

Front

What type of function is represented by the ceiling function?

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Step Function

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0.60, 0.89, 1.07, 1.25, 1.43, 1.55

Front

How do you calculate the cost of renting a Karaoke machine for 3 days if it costs $100?

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The total cost is $100.

Front

What is the difference between a discrete function and a continuous function?

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A discrete function consists of distinct, separate values, while a continuous function has an unbroken range of values.

Front

What is a common application of step functions in real life?

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Step functions are often used in scenarios like billing systems, where charges increase in steps based on usage.

Front

What is the floor function?

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