Functions!

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a function in mathematics?
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
How can you determine if a graph represents a function?
Back
A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).
3.
FLASHCARD QUESTION
Front
What is the difference between a linear function and a nonlinear function?
Back
A linear function has a constant rate of change and can be represented by a straight line, while a nonlinear function does not have a constant rate of change and can be represented by curves.
4.
FLASHCARD QUESTION
Front
What is an ordered pair in the context of functions?
Back
An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system, where 'x' is the input and 'y' is the output.
5.
FLASHCARD QUESTION
Front
What does it mean for a set of ordered pairs to be a function?
Back
A set of ordered pairs is a function if no two different ordered pairs have the same first element (input).
6.
FLASHCARD QUESTION
Front
What is the definition of a linear function?
Back
A linear function is a function that can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.
7.
FLASHCARD QUESTION
Front
What is the definition of a nonlinear function?
Back
A nonlinear function is a function that cannot be expressed in the form y = mx + b and may include quadratic, exponential, or other types of relationships.
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