Piecewise Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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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 for different parts of its domain.
2.
FLASHCARD QUESTION
Front
How do you determine the value of a piecewise function at a specific point?
Back
To determine the value of a piecewise function at a specific point, identify which piece of the function applies to that point based on its domain.
3.
FLASHCARD QUESTION
Front
What does the domain of a piecewise function represent?
Back
The domain of a piecewise function represents the set of input values (x-values) for which the function is defined.
4.
FLASHCARD QUESTION
Front
What is the significance of the endpoints in a piecewise function?
Back
Endpoints indicate whether the function includes or excludes certain values in its domain, affecting continuity and limits.
5.
FLASHCARD QUESTION
Front
How do you graph a piecewise function?
Back
To graph a piecewise function, plot each piece of the function according to its defined domain, ensuring to use open or closed circles at endpoints as needed.
6.
FLASHCARD QUESTION
Front
What is the value of f(0) if f(x) = { 2x + 2 for x < 0; 4 for x ≥ 0 }?
Back
4
7.
FLASHCARD QUESTION
Front
What is the domain restriction of the function f(x) = { x^2 for x < 0; 3x - 1 for x ≥ 0 }?
Back
x ≥ 0 for the second piece.
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