What is a linear function?
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 rate of change is not constant.
3.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.
4.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the value of y when x is 0, represented by the term 'b' in the equation y = mx + b.
5.
FLASHCARD QUESTION
Front
What is the Vertical Line Test?
Back
The Vertical Line Test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.
6.
FLASHCARD QUESTION
Front
How do you find the rate of change from a table of values?
Back
To find the rate of change, calculate the difference in y-values divided by the difference in x-values between two points.
7.
FLASHCARD QUESTION
Front
What is the initial value in the equation y = 8x + 6?
Back
The initial value is 6, which is the y-intercept of the function.
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