Linear or Nonlinear
Flashcard
•
Mathematics
•
5th Grade
•
Practice Problem
•
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 written 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 from a table of values?
Back
If the differences between the y-values are constant for equal changes in the x-values, the function is linear.
4.
FLASHCARD QUESTION
Front
How can you identify a nonlinear function from a table of values?
Back
If the differences between the y-values are not constant for equal changes in the x-values, the function is nonlinear.
5.
FLASHCARD QUESTION
Front
What is the slope in a linear function?
Back
The slope (m) is a number that describes the steepness and direction of the line. It is calculated as the change in y divided by the change in x.
6.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept (b) is the point where the line crosses the y-axis. It represents the value of y when x is 0.
7.
FLASHCARD QUESTION
Front
Give an example of a linear function.
Back
An example of a linear function is f(x) = 2x + 3.
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