Linear vs. Nonlinear
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
+5
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. It can include curves, parabolas, and other shapes that do not have a constant rate of change.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from its graph?
Back
A linear function can be identified by its straight line graph, which has a constant slope and does not curve.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
4.
FLASHCARD QUESTION
Front
What are the characteristics of a linear equation?
Back
Linear equations have a degree of 1, can be written in the form Ax + By = C, and their graph is a straight line.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
What are some examples of linear functions?
Back
Examples of linear functions include f(x) = 2x + 3, f(x) = -x + 5, and f(x) = 0.5x.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What are some examples of nonlinear functions?
Back
Examples of nonlinear functions include f(x) = x^2, f(x) = sin(x), and f(x) = e^x.
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 the y-coordinate to the change in the x-coordinate between any two points on the line.
Tags
CCSS.8.EE.B.5
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