Step Functions

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a step function?
Back
A step function is a piecewise constant function that jumps from one value to another without taking on any values in between.
2.
FLASHCARD QUESTION
Front
What does the ceiling function \( \lceil x \rceil \) represent?
Back
The ceiling function \( \lceil x \rceil \) rounds a number up to the nearest integer.
3.
FLASHCARD QUESTION
Front
What does the floor function \( \lfloor x \rfloor \) represent?
Back
The floor function \( \lfloor x \rfloor \) rounds a number down to the nearest integer.
4.
FLASHCARD QUESTION
Front
Calculate \( \lceil 5.7 \rceil \).
Back
6
5.
FLASHCARD QUESTION
Front
Calculate \( \lfloor -2.3 \rfloor \).
Back
-3
6.
FLASHCARD QUESTION
Front
What is the value of y when x = 1 in the step function defined as y = 2 for 0 ≤ x < 2?
Back
2
7.
FLASHCARD QUESTION
Front
What is the value of y when x = 3 in the step function defined as y = 4 for 2 ≤ x < 4?
Back
4
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