Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function in mathematics?
Back
A function is a relation that assigns exactly one output for each input. It can be represented as a set of ordered pairs, a table, or a graph.
2.
FLASHCARD QUESTION
Front
What is a proportional function?
Back
A proportional function is a type of linear function that passes through the origin (0,0) and can be expressed in the form y = kx, where k is a constant.
3.
FLASHCARD QUESTION
Front
How can you determine if a table represents a function?
Back
A table represents a function if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.
4.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph is not a function.
5.
FLASHCARD QUESTION
Front
What does it mean for a relation to be a function?
Back
For a relation to be a function, each input must be associated with exactly one output. This means no x-value can map to more than one y-value.
6.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
What is the significance of the slope in a linear function?
Back
The slope of a linear function indicates the rate of change of the function; it represents how much the output (y) changes for a unit change in the input (x).
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