Piecewise Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
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 evaluate a piecewise function at a specific point?
Back
To evaluate a piecewise function at a specific point, determine which interval the point falls into and then use the corresponding expression to find the function's value.
Tags
CCSS.HSF.IF.A.2
3.
FLASHCARD QUESTION
Front
What is the significance of the domain in piecewise functions?
Back
The domain of a piecewise function specifies the intervals over which each piece of the function is defined, which is crucial for determining the function's behavior.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
What does it mean for a piecewise function to be continuous?
Back
A piecewise function is continuous if there are no breaks, jumps, or holes in the graph at the points where the pieces meet.
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 circles to indicate whether endpoints are included.
Tags
CCSS.HSF-IF.C.7B
6.
FLASHCARD QUESTION
Front
What is the difference between open and closed intervals in piecewise functions?
Back
Open intervals do not include their endpoints, while closed intervals do include their endpoints, affecting the function's continuity and values at those points.
Tags
CCSS.HSF-IF.C.7B
7.
FLASHCARD QUESTION
Front
How do you find the limit of a piecewise function at a point?
Back
To find the limit of a piecewise function at a point, evaluate the function from both sides of the point and check if the limits agree.
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