Linear vs. Nonlinear Functions

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+3
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 y = 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
Which equation represents a linear function? y = 3x + 2 or y = x^2?
Back
y = 3x + 2 represents a linear function.
Tags
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What is the slope in the equation y = 5x - 1?
Back
The slope is 5.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
How can you determine if a function is linear from a table of values?
Back
If the differences between consecutive y-values are constant for equal differences in x-values, the function is linear.
Tags
CCSS.HSF-LE.A.1B
7.
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.
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