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 determine the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all possible input values (x) for which the function is defined, considering all pieces.

Front

What does it mean if a piecewise function has a closed interval?

Back

A closed interval means that the endpoints are included in the domain, denoted by square brackets [a, b].

Tags

CCSS.HSF-IF.C.7B

Front

What does it mean if a piecewise function has an open interval?

Back

An open interval means that the endpoints are not included in the domain, denoted by parentheses (a, b).

Tags

CCSS.HSF-IF.C.7B

Front

How do you find the range of a piecewise function?

Back

The range of a piecewise function is the set of all possible output values (y) that the function can produce, based on the defined pieces.

Front

What is the significance of the 'pieces' in a piecewise function?

Back

The 'pieces' represent different rules or formulas that apply to specific intervals of the domain.

Tags

CCSS.HSF-IF.C.7B

Front

How can you graph a piecewise function?

Back

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

Tags

CCSS.HSF-IF.C.7B

Front

What is the difference between a function and a piecewise function?

Back

A function has a single rule for all inputs, while a piecewise function has multiple rules that apply to different parts of its domain.

Front

What is the notation used for piecewise functions?

Back

Piecewise functions are often written using curly braces, with each piece defined by its interval and corresponding expression.

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.

Tags

CCSS.HSF.IF.A.2