Evaluating 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 at a specific point?

Back

To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point and then use the corresponding expression to find the value.

Tags

CCSS.HSF.IF.A.2

Front

What does the domain of a function represent?

Back

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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 find the value of f(x) for x in a piecewise function?

Back

Identify the interval in which x falls and use the corresponding expression to calculate f(x).

Tags

CCSS.HSF.IF.A.2

Front

What is the significance of the notation f(x)?

Back

f(x) denotes the output of the function f for a given input x.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean if a piecewise function has a closed interval?

Back

A closed interval means that the endpoints are included in the domain of the function.

Tags

CCSS.HSF-IF.C.7B

Front

What does it mean if a piecewise function has an open interval?

Back

An open interval means that the endpoints are not included in the domain of the function.

Tags

CCSS.HSF-IF.C.7B

Front

How can you determine the number of pieces in a piecewise function?

Back

Count the number of different expressions or formulas that define the function over its domain.

Front

What is the value of f(2) if f(x) = {1 for x < 2, 3 for x = 2, 4 for x > 2}?

Back

f(2) = 3.

Tags

CCSS.HSF.IF.A.2