Piecewise Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
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
2.
FLASHCARD QUESTION
Front
How do you determine the value of a piecewise function at a specific point?
Back
To determine the value of a piecewise function at a specific point, identify which interval the point falls into and use the corresponding expression.
Tags
CCSS.HSF.IF.A.2
3.
FLASHCARD QUESTION
Front
What does the notation f(x) mean in a piecewise function?
Back
f(x) represents the output of the function for a given input x, which may depend on the interval in which x lies.
4.
FLASHCARD QUESTION
Front
What is the significance of the domain in piecewise functions?
Back
The domain of a piecewise function specifies the intervals for which each piece of the function is valid.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
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
6.
FLASHCARD QUESTION
Front
What is the difference between an open interval and a closed interval?
Back
An open interval does not include its endpoints, while a closed interval includes its endpoints.
Tags
CCSS.6.EE.B.8
7.
FLASHCARD QUESTION
Front
If f(x) = -x + 4 for x < 2, what is f(1)?
Back
f(1) = -1 + 4 = 3.
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