Identify and Compare Functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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. Its general form is y = mx + b, where m is the slope and b is the y-intercept.
3.
FLASHCARD QUESTION
Front
What is a non-linear function?
Back
A non-linear function is a function that does not create a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.
4.
FLASHCARD QUESTION
Front
How can you determine if a graph represents a function?
Back
You can use the vertical line test: if a vertical line intersects the graph at more than one point, then it is not a function.
5.
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).
6.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.
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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