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 over different intervals of its domain.
Tags
CCSS.HSF-IF.C.7B
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.
Tags
CCSS.HSF.IF.A.2
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.
Tags
CCSS.HSF-IF.C.7B
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.
Tags
CCSS.HSF.IF.A.2
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.
Tags
CCSS.HSF.IF.A.2
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.
Tags
CCSS.HSF-IF.C.7B
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