Domain & Range (from graphs, functions, and applications)

Flashcard
•
Mathematics
•
11th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the definition of Domain in a function?
Back
The set of all possible input values (x-values) for which the function is defined.
2.
FLASHCARD QUESTION
Front
What is the definition of Range in a function?
Back
The set of all possible output values (y-values) that a function can produce.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
3.
FLASHCARD QUESTION
Front
How do you express the domain of a function in interval notation?
Back
Use brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.
4.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = √x?
Back
The domain is [0, ∞) because the square root function is only defined for non-negative numbers.
5.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = x^2?
Back
The range is [0, ∞) because the output of a square function is always non-negative.
6.
FLASHCARD QUESTION
Front
If a function has a domain of [1, 5], what does this mean?
Back
The function is defined for all x-values from 1 to 5, including 1 and 5.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
7.
FLASHCARD QUESTION
Front
What is the range of a function that models the height of a ball thrown into the air?
Back
The range is all real numbers between 0 and the maximum height of the ball.
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