Flashcard #6 Review-Piecewise Functions

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•
Mathematics
•
9th - 10th 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 evaluate a piecewise function?
Back
To evaluate a piecewise function, determine which interval the input value falls into and then use the corresponding expression to find the output.
3.
FLASHCARD QUESTION
Front
What does the notation f(x) mean in piecewise functions?
Back
f(x) represents the output of the function for a given input x.
4.
FLASHCARD QUESTION
Front
What is the significance of the domain in piecewise functions?
Back
The domain specifies the input values for which the function is defined, and it can vary for different pieces of the function.
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 interval, ensuring to use open or closed dots as appropriate.
6.
FLASHCARD QUESTION
Front
What is the difference between open and closed intervals?
Back
An open interval does not include its endpoints, while a closed interval includes its endpoints.
7.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is the ratio of the change in the y-value to the change in the x-value, often represented as 'm'.
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