Piecewise

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 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 to find the function's value.

Tags

CCSS.HSF.IF.A.2

Front

What is interval notation?

Back

Interval notation is a way of representing a range of values using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

What does the notation (-9, -4] represent?

Back

The notation (-9, -4] represents all real numbers greater than -9 and less than or equal to -4.

Tags

CCSS.6.EE.B.8

Front

How do you express the domain of a piecewise function?

Back

The domain of a piecewise function is expressed as the union of the intervals for which each piece of the function is defined.

Tags

CCSS.HSF-IF.C.7B

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include its endpoints, while a closed interval [a, b] includes its endpoints.

Tags

CCSS.HSA.CED.A.3

Front

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

Back

To find f(x) for a piecewise function, identify the correct piece of the function based on the value of x and substitute x into that piece.

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the notation DNE in piecewise functions?

Back

DNE stands for 'Does Not Exist' and is used to indicate that a function value is undefined for a particular input.

Tags

CCSS.HSF.IF.A.2

Front

How can you graph a piecewise function?

Back

To graph a piecewise function, plot each piece of the function on its respective interval, using open or closed dots to indicate whether endpoints are included.

Tags

CCSS.HSF-IF.C.7B

Front

What is the output of f(-2) if f(x) = { 4 if x < -2; 8 if x >= -2 }?

Back

The output of f(-2) is 8, since -2 falls into the second piece of the function.

Tags

CCSS.HSF.IF.A.2