What is a piecewise function?
Evaluate Piecewise Functions #1 & #2

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Mathematics
•
10th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A piecewise function is a function that is defined by different expressions or formulas for different intervals 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, identify which interval the point falls into and use the corresponding expression to find the function's value.
3.
FLASHCARD QUESTION
Front
What does it mean for a function to be undefined at a point?
Back
A function is undefined at a point if there is no valid output for that input, often due to division by zero or if the input does not fall within the function's defined intervals.
4.
FLASHCARD QUESTION
Front
What is the significance of 'No Real Number Solution' in the context of piecewise functions?
Back
'No Real Number Solution' indicates that there is no value in the real number system that satisfies the function for the given input.
5.
FLASHCARD QUESTION
Front
How can you determine if a piecewise function is continuous at a point?
Back
A piecewise function is continuous at a point if the limit from the left equals the limit from the right and both equal the function's value at that point.
6.
FLASHCARD QUESTION
Front
What is the difference between a function being undefined and having a value of zero?
Back
A function being undefined means there is no output for that input, while a value of zero means the function outputs zero for that input.
7.
FLASHCARD QUESTION
Front
What is the importance of domain in piecewise functions?
Back
The domain of a piecewise function defines the set of input values for which the function is defined, and it can vary across different pieces of the function.
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