Linear and Nonlinear Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
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.
2.
FLASHCARD QUESTION
Front
What is a Nonlinear Function?
Back
A nonlinear function is a function that does not form a straight line when graphed. It can have curves, bends, or other shapes, and does not have a constant rate of change.
3.
FLASHCARD QUESTION
Front
What does it mean for a relation to be 'Not a Function'?
Back
A relation is 'not a function' if it does not pass the vertical line test, meaning that for at least one input, there are multiple outputs.
4.
FLASHCARD QUESTION
Front
Give an example of a Linear Function.
Back
An example of a linear function is f(x) = 2x + 3, which represents a straight line with a slope of 2 and a y-intercept of 3.
5.
FLASHCARD QUESTION
Front
Give an example of a Nonlinear Function.
Back
An example of a nonlinear function is f(x) = x^2, which represents a parabola that opens upwards.
6.
FLASHCARD QUESTION
Front
What is the slope in a linear function?
Back
The slope (m) in a linear function represents the rate of change of the function. It indicates how much y changes for a unit change in x.
7.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept (b) in a linear function is the point where the line crosses the y-axis, representing the value of f(x) when x = 0.
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