Understanding Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
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 every input has exactly one output. This can be checked using the vertical line test.
5.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b.
6.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of the function, indicating how much y changes for a unit change in x.
7.
FLASHCARD QUESTION
Front
What is the y-intercept?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.
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