Identify function, Domain Range and evaluate
Flashcard
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Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.
2.
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) for which the function is defined.
3.
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.
4.
FLASHCARD QUESTION
Front
How do you determine if a relation is a function?
Back
A relation is a function if no two ordered pairs have the same first element (x-value) with different second elements (y-values).
5.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = 1/x?
Back
The domain is all real numbers except x = 0, since division by zero is undefined.
6.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = x^2?
Back
The range is all real numbers greater than or equal to 0, since a square of a real number cannot be negative.
7.
FLASHCARD QUESTION
Front
Given the points (-7, 3), (-1, 6), and (8, -3), what is the range?
Back
The range is {-3, 3, 6}.
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