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 intervals of its domain.

Tags

CCSS.HSF-IF.C.7B

Front

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

Back

To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression to find the function's value.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all input values (x-values) for which the function is defined, often expressed in intervals.

Front

What does 'DNE' stand for in the context of functions?

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DNE stands for 'Does Not Exist', indicating that a function value is not defined for a particular input.

Front

How can you graph a piecewise function?

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To graph a piecewise function, plot each piece of the function according to its defined interval, ensuring to use open or closed dots as appropriate.

Tags

CCSS.HSF-IF.C.7B

Front

What is the significance of the expression '-x + 4' in a piecewise function?

Back

The expression '-x + 4' represents a linear function that applies to values of x less than 2 in a piecewise function.

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What does the expression '2x - 6' represent in a piecewise function?

Back

The expression '2x - 6' represents a linear function that applies to values of x greater than or equal to 2 in a piecewise function.

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How do you find the value of f(3) in a piecewise function?

Back

To find f(3), identify the interval that includes x = 3 and use the corresponding expression to calculate the value.

Tags

CCSS.HSF.IF.A.2

Front

What is the value of g(-2) if g(x) is defined piecewise?

Back

To find g(-2), determine which piece of the function applies to x = -2 and evaluate it using that expression.

Tags

CCSS.HSF.IF.A.2

Front

What is the importance of understanding the domain of each piece in a piecewise function?

Back

Understanding the domain of each piece is crucial for correctly evaluating the function and graphing it accurately.

Tags

CCSS.HSF-IF.C.7B