5.3: Range of a Function
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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the RANGE of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.
2.
FLASHCARD QUESTION
Front
What does the notation [-2, 5] represent?
Back
It represents a closed interval including all numbers from -2 to 5, where -2 and 5 are included in the range.
3.
FLASHCARD QUESTION
Front
What does the notation (1, ∞) represent?
Back
It represents an open interval starting just above 1 and extending to infinity, meaning 1 is not included in the range.
4.
FLASHCARD QUESTION
Front
How do you determine the range from a set of ordered pairs?
Back
The range is found by identifying all the second elements (y-values) from the ordered pairs.
5.
FLASHCARD QUESTION
Front
What is the range of the function represented by the points (2, 4), (5, 5), (8, 6), (11, 7)?
Back
The range is {4, 5, 6, 7}.
6.
FLASHCARD QUESTION
Front
What is the difference between a closed interval and an open interval?
Back
A closed interval includes its endpoints, while an open interval does not.
7.
FLASHCARD QUESTION
Front
If a function has a range of y ≤ 1, what does this imply about its outputs?
Back
It implies that all output values (y-values) are less than or equal to 1.
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