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?

Back

To evaluate a piecewise function, determine which interval the input value falls into and use the corresponding expression to find the output.

Tags

CCSS.HSF.IF.A.2

Front

What does 'undefined' mean in the context of a function?

Back

'Undefined' means that the function does not have a valid output for a given input, often due to division by zero or an input not falling within the function's domain.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is the domain of a piecewise function?

Back

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

Front

What is the range of a piecewise function?

Back

The range of a piecewise function is the set of all possible output values (y-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, ensuring to use open or closed dots as appropriate.

Tags

CCSS.HSF-IF.C.7B

Front

What is a continuous piecewise function?

Back

A continuous piecewise function is one where the pieces connect without any breaks or jumps at the boundaries of the intervals.

Tags

CCSS.HSF-IF.C.7B

Front

What is a discontinuous piecewise function?

Back

A discontinuous piecewise function has breaks or jumps in its graph, meaning it is not continuous at certain points.

Tags

CCSS.HSF-IF.C.7B

Front

How do you find the value of f(x) for x = -2 in a piecewise function?

Back

Identify the interval that includes x = -2 and use the corresponding expression to calculate f(-2).

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a piecewise function has multiple pieces?

Back

It means that the function is defined by different rules or formulas for different segments of its domain.

Tags

CCSS.HSF-IF.C.7B