
Alg 2. Domain and Range of Piecewise functions.
Flashcard
•
Mathematics
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8th Grade - University
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of a piecewise function?
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
How do you determine the domain of a piecewise function?
Back
To determine the domain, identify the intervals for which each piece of the function is defined and combine them.
3.
FLASHCARD QUESTION
Front
What is the definition of the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce.
4.
FLASHCARD QUESTION
Front
How do you find the range of a piecewise function?
Back
To find the range, evaluate each piece of the function over its domain and combine the resulting output values.
5.
FLASHCARD QUESTION
Front
What does it mean if a function has a domain of (-∞, +∞)?
Back
It means that the function is defined for all real numbers.
6.
FLASHCARD QUESTION
Front
What does it mean if a function has a range of [-1, +∞)?
Back
It means that the function outputs values starting from -1 and going up to positive infinity, including -1.
7.
FLASHCARD QUESTION
Front
What is an example of a piecewise function?
Back
f(x) = { x^2 for x < 0; 2x + 1 for x ≥ 0 }.
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