What is a piecewise function?
Piecewise Functions and Domain and Range

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•
Mathematics
•
9th - 10th 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 parts of its domain.
2.
FLASHCARD QUESTION
Front
What does the domain of a function represent?
Back
The domain of a function represents all the possible input values (x-values) for which the function is defined.
3.
FLASHCARD QUESTION
Front
What does the range of a function represent?
Back
The range of a function represents all the possible output values (y-values) that the function can produce.
4.
FLASHCARD QUESTION
Front
How can you determine if a relation is a function?
Back
A relation is a function if each input value corresponds to exactly one output value.
5.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = 2x + 3?
Back
The domain is (-∞, ∞) because this linear function is defined for all real numbers.
6.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = x^2?
Back
The range is [0, ∞) because the output values are always non-negative.
7.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = 1/x?
Back
The domain is (-∞, 0) ∪ (0, ∞) because the function is undefined at x = 0.
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