Linear vs Non-linear

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+2
Standards-aligned
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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 a curve or any shape that is not a straight line.
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, which is in the form f(x) = mx + b. If the highest exponent of the variable is 1, it is linear.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
4.
FLASHCARD QUESTION
Front
What is the general form of a linear equation in two variables?
Back
The general form of a linear equation in two variables is Ax + By = C, where A, B, and C are constants.
5.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope of a linear function represents the rate of change of the function; it indicates how much the dependent variable changes for a unit change in the independent variable.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept of a linear function is the point where the graph intersects the y-axis, which occurs when x = 0.
7.
FLASHCARD QUESTION
Front
Can a linear function have a slope of zero?
Back
Yes, a linear function can have a slope of zero, which means it is a horizontal line and the output value remains constant regardless of the input.
Tags
CCSS.8.EE.B.5
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