Linear/Nonlinear/Equations from tables

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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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 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 create a straight line when graphed. Its rate of change is not constant, and it can take various forms such as curves or circles.
3.
FLASHCARD QUESTION
Front
How can you determine if a function is linear or nonlinear from a table of values?
Back
If the differences between consecutive y-values are constant for equal changes in x-values, the function is linear. If the differences vary, the function is nonlinear.
4.
FLASHCARD QUESTION
Front
What does the term 'slope' refer to in a linear equation?
Back
The slope refers to the steepness of the line, calculated as the change in y divided by the change in x (rise/run).
5.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.
6.
FLASHCARD QUESTION
Front
What is an example of a linear equation?
Back
An example of a linear equation is y = 2x + 3.
7.
FLASHCARD QUESTION
Front
What is an example of a nonlinear equation?
Back
An example of a nonlinear equation is y = x^2 + 2.
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