Graphing 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 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 dots based on whether the endpoints are included.

Tags

CCSS.HSF-IF.C.7B

Front

What does the notation f(x) mean in a piecewise function?

Back

f(x) represents the output of the function for a given input x, which may depend on which piece of the function is applicable.

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 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 determine the domain restrictions for a piece of a piecewise function?

Back

Domain restrictions can be determined by examining the intervals specified for each piece of the function.

Front

What is the significance of open and closed intervals in piecewise functions?

Back

Open intervals indicate that the endpoint is not included in the domain, while closed intervals indicate that the endpoint is included.

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, identify which piece of the function applies to that input and use the corresponding formula.

Tags

CCSS.HSF.IF.A.2

Front

What is the difference between continuous and discontinuous piecewise functions?

Back

Continuous piecewise functions have no breaks in their graphs, while discontinuous piecewise functions have jumps or gaps.

Tags

CCSS.HSF-IF.C.7B

Front

How can you identify a piecewise function from a graph?

Back

A piecewise function can be identified by observing distinct segments or pieces in the graph, each corresponding to different intervals.

Tags

CCSS.HSF-IF.C.7B