Linear vs Non Linear Functions

Flashcard
•
Mathematics
•
7th - 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 graphs to a straight line. It can be expressed in 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 graph to a straight line. Its graph can be a curve or any shape that is not a straight line.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function?
Back
A linear function can be identified by its constant rate of change, meaning that the difference in y-values divided by the difference in x-values is the same for any two points.
4.
FLASHCARD QUESTION
Front
How can you identify a nonlinear function?
Back
A nonlinear function can be identified by its changing rate of change, meaning that the difference in y-values divided by the difference in x-values varies between points.
5.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By = C, where A, B, and C are constants.
6.
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 (change in y) over the run (change in x).
7.
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.
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