Algebra I - U4L12 - Piecewise functions

Front

What is a piecewise function?

Back

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

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify which part of the function applies to the input value and use the corresponding expression to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What does the notation C(d) represent in the context of piecewise functions?

Back

C(d) represents the cost of renting a service (like a Karaoke machine) based on the number of days (d) it is rented.

Front

If a piecewise function has a defined value at x=3, what does that mean?

Back

It means that when you input x=3 into the function, you will get a specific output value, which is part of the function's definition.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the domain in piecewise functions?

Back

The domain specifies the input values for which the function is defined, and different pieces of the function may apply to different intervals of the domain.

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CCSS.HSF-IF.C.7B

Front

How can you graph a piecewise function?

Back

To graph a piecewise function, plot each piece of the function according to its defined interval, ensuring to use open or closed circles to indicate whether endpoints are included.

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CCSS.HSF-IF.C.7B

Front

What is the cost of renting a snowblower for 90 minutes if the rate is $7.50 for that duration?

Back

The cost is $7.50.

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CCSS.HSF-LE.A.1B

Front

If Mr. McKay rented a snowblower for 150 minutes, what would be the cost if the rate is $12.50 for 90 minutes?

Back

The cost would be $12.50, as he could rent it for that duration.

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CCSS.6.EE.B.7

Front

What is the value of C(4.5) if C(d) is defined as $150 for 4 days?

Back

C(4.5) is $150, as it is the cost for renting the Karaoke machine for 4 days.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What does it mean if a function is undefined at a certain point?

Back

It means that there is no output value for that input, often due to the function's definition not covering that input.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1