Linear/Nonlinear/Equations from tables
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
+2
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 graphs to a straight line. It has a constant rate of change and can be expressed in 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 graph to a straight line. 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 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, check if the differences between consecutive y-values are constant for equal intervals of x-values. If they are constant, the function is linear; if not, it is nonlinear.
Tags
CCSS.8.F.A.3
4.
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, which represents how much the y-value changes for a unit change in the x-value.
Tags
CCSS.HSF-LE.A.1B
5.
FLASHCARD QUESTION
Front
What does a constant slope indicate about a function?
Back
A constant slope indicates that the function is linear, meaning it has a consistent rate of change.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often represented by the letter 'm'.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
If a table shows the following values: (1, 2), (2, 4), (3, 6), what is the rate of change?
Back
The rate of change is 2, as for every increase of 1 in x, y increases by 2.
Tags
CCSS.HSF-LE.A.1B
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