Algebra Unit 2: Lessons 8-11
Flashcard
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Mathematics
•
8th Grade
•
Practice Problem
•
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. For example, if a function has outputs between -8 and 2, the range is -8 ≤ y ≤ 2.
2.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation that assigns exactly one output (y-value) for each input (x-value). For example, the set of pairs (6,-5), (7,-3), (8,-1), (9,1) is a function because no x-value is repeated.
3.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) that the function can accept. For example, if a function is defined for x-values between -6 and 6, the domain is -6 ≤ x ≤ 6.
4.
FLASHCARD QUESTION
Front
What is an increasing interval in a function?
Back
An increasing interval is a range of x-values where the function's output (y-value) is rising as x increases. For example, if a function increases from x = 1 to x = 3, the increasing interval is (1, 3).
5.
FLASHCARD QUESTION
Front
What is a decreasing interval in a function?
Back
A decreasing interval is a range of x-values where the function's output (y-value) is falling as x increases. For example, if a function decreases from x = -∞ to x = 1, the decreasing interval is (-∞, 1).
6.
FLASHCARD QUESTION
Front
What is a mapping in mathematics?
Back
A mapping is a way to describe how each element of one set (domain) is paired with an element of another set (range). A mapping is a function if every input has exactly one output.
7.
FLASHCARD QUESTION
Front
What does it mean for a relation to be 'not a function'?
Back
A relation is 'not a function' if at least one input (x-value) is associated with more than one output (y-value). For example, the pairs (2,3) and (2,4) show that 2 is mapped to both 3 and 4, making it not a function.
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