Function and Relation Flashcard

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•
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 a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
3.
FLASHCARD QUESTION
Front
What does it mean for y to be a function of x?
Back
It means that for each value of x, there is exactly one corresponding value of y.
4.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).
5.
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.
6.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change; the difference in y-values divided by the difference in x-values will be the same for all pairs of points.
7.
FLASHCARD QUESTION
Front
What is the difference between a function and a relation?
Back
A relation is any set of ordered pairs, while a function is a specific type of relation where each input is associated with exactly one output.
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