Flashcard #6 Review-Piecewise Functions

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•
Mathematics
•
9th - 10th Grade
•
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 evaluate a piecewise function at a specific point?
Back
To evaluate a piecewise function at a specific point, determine which piece of the function applies to that point and use the corresponding expression.
3.
FLASHCARD QUESTION
Front
What does the graph of a piecewise function look like?
Back
The graph of a piecewise function may consist of multiple segments, each representing a different expression, and can include jumps or breaks.
4.
FLASHCARD QUESTION
Front
What is the importance of 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 represent a piecewise function mathematically?
Back
A piecewise function can be represented using braces, with each piece defined for its specific interval, e.g., f(x) = { x^2 for x < 0, x + 1 for x >= 0 }.
6.
FLASHCARD QUESTION
Front
What is a distance-time graph?
Back
A distance-time graph shows the distance traveled over time, where the x-axis represents time and the y-axis represents distance.
7.
FLASHCARD QUESTION
Front
How do you interpret the slope of a distance-time graph?
Back
The slope of a distance-time graph represents the speed or velocity of the object; a steeper slope indicates a higher speed.
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