Linear vs Nonlinear Functions Review Flashcard

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. Its rate of change is not constant, and it can take various forms such as quadratic, exponential, or logarithmic.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from its equation?
Back
A linear function can be identified by its equation in the form y = mx + b. If the equation includes variables raised to a power greater than one, it is nonlinear.
Tags
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept (b) is the point where the graph of the function crosses the y-axis. It represents the value of y when x is 0.
6.
FLASHCARD QUESTION
Front
Give an example of a linear function.
Back
An example of a linear function is f(x) = 2x + 3.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
Give an example of a nonlinear function.
Back
An example of a nonlinear function is f(x) = x^2 + 2.
Tags
CCSS.8.F.A.3
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