Linear vs. Nonlinear Functions

Flashcard
•
Mathematics
•
8th - 10th 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 creates a straight line when graphed. It has a constant rate of change and can be represented by the equation 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 create a straight line when graphed. It has a variable rate of change and can include curves, parabolas, or other shapes.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function can be identified from a table of values if the ratio of the change in y to the change in x is constant for all pairs of values.
4.
FLASHCARD QUESTION
Front
What does it mean for a function to have a constant rate of change?
Back
A constant rate of change means that for every unit increase in x, the change in y is always the same. This is characteristic of linear functions.
5.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is a measure of how steep the line is. It is calculated as the change in y divided by the change in x (rise/run).
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of y when x is 0 in the equation of the line.
7.
FLASHCARD QUESTION
Front
Can a function be both linear and nonlinear?
Back
No, a function cannot be both linear and nonlinear. It is either one or the other based on its characteristics.
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