Domain and Range of Functions

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What is the definition of 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.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
2.
FLASHCARD QUESTION
Front
What is the definition of 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.
3.
FLASHCARD QUESTION
Front
How do you determine the domain of a function from its graph?
Back
The domain can be determined by identifying the x-values for which the graph exists, including any restrictions such as holes or vertical asymptotes.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
4.
FLASHCARD QUESTION
Front
How do you determine the range of a function from its graph?
Back
The range can be determined by identifying the y-values that the graph reaches, including any restrictions such as horizontal asymptotes.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
5.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = √(x - 1)?
Back
The domain is x ≥ 1, since the expression under the square root must be non-negative.
6.
FLASHCARD QUESTION
Front
What is the range of the function f(x) = x^2?
Back
The range is y ≥ 0, since the square of any real number is non-negative.
7.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = 1/(x - 3)?
Back
The domain is all real numbers except x = 3, where the function is undefined.
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