What is a linear function?
Identifying Linear and Nonlinear Functions

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = 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. Its graph can be a curve or any other shape that is not a straight line.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from its equation?
Back
A linear function can be identified by its equation in the form y = mx + b. If the equation includes variables raised to a power greater than one, it is nonlinear.
4.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept (b) is the point where the graph of the function crosses the y-axis. It represents the value of y when x is 0.
6.
FLASHCARD QUESTION
Front
Give an example of a linear function.
Back
An example of a linear function is y = 3x + 2.
7.
FLASHCARD QUESTION
Front
Give an example of a nonlinear function.
Back
An example of a nonlinear function is y = x^2 + 1.
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