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 piece to find the output.

Tags

CCSS.HSF.IF.A.2

Front

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

Back

DNE stands for 'Does Not Exist', indicating that a function does not have a value for a certain input.

Front

What is the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all input values for which the function is defined, which may vary across different pieces.

Front

What is the range of a piecewise function?

Back

The range of a piecewise function is the set of all possible output values that the function can produce.

Tags

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 on the x-axis.

Tags

CCSS.HSF-IF.C.7B

Front

What is the significance of the 'if' statement in piecewise functions?

Back

The 'if' statement specifies the conditions under which each piece of the function is applicable.

Front

How do you find the value of f(x) at a specific point in a piecewise function?

Back

Substitute the specific point into the appropriate piece of the function based on its defined conditions.

Tags

CCSS.HSF.IF.A.2

Front

What is a continuous piecewise function?

Back

A continuous piecewise function is one where there are no breaks or jumps in the graph, meaning the pieces connect smoothly.

Tags

CCSS.HSF-IF.C.7B

Front

What is a discontinuous piecewise function?

Back

A discontinuous piecewise function has breaks or jumps in the graph, indicating that the function is not defined at certain points.

Tags

CCSS.HSF-IF.C.7B