Identifying Linear and Nonlinear Functions

Flashcard
•
Mathematics
•
8th 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. 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 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 significance of the slope in a linear function?
Back
The slope (m) in a linear function represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (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 the function when x = 0.
6.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
7.
FLASHCARD QUESTION
Front
How do you determine if a function is linear or nonlinear from a table of values?
Back
To determine if a function is linear or nonlinear from a table of values, check if the differences between consecutive y-values are constant. If they are constant, the function is linear; if not, it is nonlinear.
Tags
CCSS.8.F.A.3
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