Piecewise Practice 2

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 determine the range of a piecewise function?

Back

To determine the range, evaluate the output values of each piece of the function over its defined domain and combine the results.

Tags

CCSS.HSF-IF.C.7B

Front

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

Back

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

Tags

CCSS.6.EE.B.8

Front

What are domain restrictions in a piecewise function?

Back

Domain restrictions specify the values of x for which a particular piece of the function is valid.

Tags

CCSS.HSF-IF.C.7B

Front

How do you find the value of f(x) at a specific point in a piecewise function?

Back

To find f(x) at a specific point, identify which piece of the function applies to that x value and evaluate it using the corresponding formula.

Tags

CCSS.HSF.IF.A.2

Front

What does the notation 1 ≤ x < 3 mean?

Back

The notation 1 ≤ x < 3 means x is greater than or equal to 1 and less than 3.

Tags

CCSS.HSA.CED.A.3

Front

What is the significance of the endpoints in a piecewise function?

Back

Endpoints indicate whether the value at that point is included in the domain (closed interval) or excluded (open interval).

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 on its respective interval, ensuring to use open or closed dots as appropriate.

Tags

CCSS.HSF-IF.C.7B

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Tags

CCSS.HSA.CED.A.3

Front

What is the value of f(0) if f(x) = 4 for -2 < x ≤ 1?

Back

f(0) = 4, since 0 falls within the interval -2 < x ≤ 1.

Tags

CCSS.HSF.IF.A.2