Linear vs Nonlinear Functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
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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 f(x) = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What is 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 are the characteristics of a linear function's graph?
Back
The graph of a linear function is a straight line, has a constant slope, and intersects the y-axis at the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
What are the characteristics of a nonlinear function's graph?
Back
The graph of a nonlinear function can be curved, may have varying slopes, and does not have a constant rate of change.
Tags
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
How can you determine if a function is linear or nonlinear from its equation?
Back
If the equation can be rearranged into the form y = mx + b, it is linear. If it includes variables raised to powers other than one, or products of variables, it is nonlinear.
Tags
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is the ratio of the change in y to the change in x (rise over run) and indicates the steepness of the line.
Tags
CCSS.8.EE.B.5
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