What is a function?
Relations and Functions

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.
2.
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 a vertical line intersects the graph at more than one point, the graph does not represent a function.
3.
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.
4.
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.
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. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.
6.
FLASHCARD QUESTION
Front
What is a nonlinear function?
Back
A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.
7.
FLASHCARD QUESTION
Front
How do you find the slope of a linear function?
Back
The slope of a linear function is found by taking the difference in y-values divided by the difference in x-values between two points on the line (rise/run).
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