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 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 for 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 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 circles as appropriate.

Tags

CCSS.HSF-IF.C.7B

Front

What does 'g(7) = 17' indicate in a piecewise function?

Back

It indicates that when the input value is 7, the output of the function g is 17, based on the relevant piece of the function.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the condition 'x < 2' in a piecewise function?

Back

It specifies the interval for which the corresponding expression of the function is valid, affecting the graph and output.

Tags

CCSS.HSF-IF.C.7B

Front

What does 'y ≤ 4' represent in the context of a piecewise function?

Back

It indicates that the output values of the function do not exceed 4, defining a limit on the range.

Tags

CCSS.HSF-IF.C.7B

Front

How do you find f(0) in a piecewise function?

Back

To find f(0), identify which piece of the function applies when x = 0 and evaluate that expression.

Tags

CCSS.HSF.IF.A.2

Front

What is the purpose of matching graphs with equations in piecewise functions?

Back

Matching graphs with equations helps to visually understand how the function behaves across different intervals.

Tags

CCSS.HSF-IF.C.7B