Linear and Nonlinear Functions

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+4
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. Examples include quadratic functions, exponential functions, and trigonometric functions.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What is the rate of change in a linear function?
Back
The rate of change in a linear function is the slope (m) of the line, which represents how much y changes for a unit change in x.
Tags
CCSS.HSF-LE.A.1B
4.
FLASHCARD QUESTION
Front
How do you identify a linear equation?
Back
A linear equation can be identified by its standard form, which is Ax + By = C, where A, B, and C are constants, and A and B are not both zero.
5.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
6.
FLASHCARD QUESTION
Front
What does it mean for a graph to represent a function?
Back
A graph represents a function if every input (x-value) has exactly one output (y-value). This can be tested using the vertical line test.
7.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.
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