ALG1H 4.7 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, determine which piece of the function applies to the given input value and then use that expression to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a function?

Back

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

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph.

Tags

CCSS.HSF-IF.C.7B

Front

What is the range of a function?

Back

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

Front

How do you find the value of f(x) for a piecewise function?

Back

You find f(x) by substituting x into the appropriate piece of the function based on the defined intervals.

Tags

CCSS.HSF.IF.A.2

Front

What is a graph of a piecewise function?

Back

A graph of a piecewise function consists of multiple segments, each representing a different expression of the function over specific intervals.

Tags

CCSS.HSF-IF.C.7B

Front

What does 'x ≥ 0' mean in the context of a piecewise function?

Back

'x ≥ 0' indicates that the piece of the function applies to all x-values that are 0 or greater.

Front

How do you determine the domain restrictions of a piecewise function?

Back

Domain restrictions are determined by the conditions specified for each piece of the function, indicating where each piece is valid.

Front

What is the significance of the output value in a piecewise function?

Back

The output value indicates the result of the function for a specific input, which can vary depending on the piece of the function being used.

Tags

CCSS.HSF.IF.A.2