ALG1H 4.7 Piecewise Functions

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•
Mathematics
•
8th Grade
•
Hard
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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 parts of its domain.
2.
FLASHCARD QUESTION
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
3.
FLASHCARD QUESTION
Front
What does f(0) = 4 indicate in a piecewise function?
Back
It indicates that when the input (x) is 0, the output (f(0)) is 4, based on the definition of the function at that point.
Tags
CCSS.HSF.IF.A.2
4.
FLASHCARD QUESTION
Front
If f(2) = 1, what does this tell us about the function at x = 2?
Back
It tells us that when the input (x) is 2, the output (f(2)) is 1, indicating the value of the function at that specific point.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
5.
FLASHCARD QUESTION
Front
What is the significance of finding f(-2) = 8 in a piecewise function?
Back
It shows that for the input (x) of -2, the output (f(-2)) is 8, which is determined by the relevant piece of the function.
Tags
CCSS.HSF.IF.A.2
6.
FLASHCARD QUESTION
Front
How can you graph a piecewise function?
Back
To graph a piecewise function, plot each piece of the function according to its defined interval and ensure to use open or closed circles to indicate whether endpoints are included.
Tags
CCSS.HSF-IF.C.7B
7.
FLASHCARD QUESTION
Front
What is the domain of a piecewise function?
Back
The domain of a piecewise function is the set of all possible input values (x) for which the function is defined, which may vary across different pieces.
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