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 based on its domain restrictions.

Tags

CCSS.HSF.IF.A.2

Front

What does the notation f(x) mean?

Back

f(x) represents the value of the function f at the input x.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a function?

Back

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

Front

What does the inequality x > 5 represent?

Back

The inequality x > 5 represents all numbers greater than 5.

Tags

CCSS.6.EE.B.8

Front

How do you find the value of f(x) for x = -12 in a piecewise function?

Back

Identify the piece of the function that applies to x = -12 and substitute -12 into that expression.

Tags

CCSS.HSF.IF.A.2

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

What does the notation g(-2) indicate?

Back

g(-2) indicates the value of the function g when the input is -2.

Tags

CCSS.HSF.IF.A.2

Front

How do you interpret the inequality x < 2?

Back

The inequality x < 2 means that x can take any value less than 2.

Tags

CCSS.6.EE.B.8

Front

What is the significance of domain restrictions in piecewise functions?

Back

Domain restrictions in piecewise functions determine which input values are valid for each piece of the function.

Tags

CCSS.HSF-IF.C.7B