Linear vs. Nonlinear Tables and Graphs
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has a constant rate of change and 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 be represented by equations that include exponents, roots, or other non-linear operations.
3.
FLASHCARD QUESTION
Front
How can you identify a linear relationship in a table of values?
Back
A linear relationship in a table of values can be identified if the difference between consecutive y-values is constant for equal intervals of x-values.
4.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a linear function?
Back
The slope of a line represents the rate of change of the function. It indicates how much the y-value changes for a unit change in the x-value.
5.
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 the value of y when x is 0.
6.
FLASHCARD QUESTION
Front
What does it mean if a graph is nonlinear?
Back
If a graph is nonlinear, it means that the relationship between the variables does not change at a constant rate. The graph may curve or have varying slopes.
7.
FLASHCARD QUESTION
Front
What is an example of a nonlinear function?
Back
An example of a nonlinear function is y = x^2, which represents a parabola.
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