What is a piecewise function?
Piecewise Functions

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Mathematics
•
9th - 12th 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 over different intervals of its domain.
2.
FLASHCARD QUESTION
Front
How do you evaluate a piecewise function?
Back
To evaluate a piecewise function, identify the interval that the input value falls into and use the corresponding expression to find the output.
3.
FLASHCARD QUESTION
Front
What is the domain of a piecewise function?
Back
The domain of a piecewise function is the set of all input values for which the function is defined, which may vary across different pieces.
4.
FLASHCARD QUESTION
Front
What is the range of a piecewise function?
Back
The range of a piecewise function is the set of all possible output values, which can also vary depending on the piece being evaluated.
5.
FLASHCARD QUESTION
Front
If f(x) = { x^2 for x < 0; 2x for x >= 0, what is f(-3)?
Back
f(-3) = 9, since -3 falls in the interval x < 0.
6.
FLASHCARD QUESTION
Front
If f(x) = { 3x + 1 for x < 1; x^2 for x >= 1, what is f(2)?
Back
f(2) = 4, since 2 falls in the interval x >= 1.
7.
FLASHCARD QUESTION
Front
What is the importance of the 'break' in a piecewise function?
Back
The 'break' indicates where the function changes its rule or formula, which is crucial for understanding its behavior.
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