Piecewise Functions

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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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 intervals 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 interval the point falls into and use the corresponding expression.
3.
FLASHCARD QUESTION
Front
What does the notation f(x) mean in a piecewise function?
Back
f(x) represents the output of the function for a given input x, which may depend on the interval in which x lies.
4.
FLASHCARD QUESTION
Front
What is the significance of the domain in piecewise functions?
Back
The domain of a piecewise function specifies the intervals for which each piece of the function is valid.
5.
FLASHCARD QUESTION
Front
How can you graph a piecewise function?
Back
To graph a piecewise function, plot each piece of the function on its respective interval, ensuring to use open or closed dots as appropriate.
6.
FLASHCARD QUESTION
Front
What is the difference between an open interval and a closed interval?
Back
An open interval does not include its endpoints, while a closed interval includes its endpoints.
7.
FLASHCARD QUESTION
Front
If f(x) = -x + 4 for x < 2, what is f(1)?
Back
f(1) = -1 + 4 = 3.
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