Linear or Nonlinear Function
Flashcard
•
Mathematics
•
8th 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 can be graphically represented as a straight line. It has 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 form a straight line when graphed. Its graph can be curved or have varying slopes.
3.
FLASHCARD QUESTION
Front
Identify 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.
4.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear function?
Back
The slope (m) represents the rate of change of the function; it indicates how much y changes for a unit change in x.
5.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in a linear function?
Back
The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.
6.
FLASHCARD QUESTION
Front
How can you determine if a function is linear from its graph?
Back
A function is linear if its graph is a straight line. If the graph curves or has bends, it is nonlinear.
7.
FLASHCARD QUESTION
Front
What is the equation of a linear function with a slope of 2 and a y-intercept of 3?
Back
The equation is y = 2x + 3.
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