What is a linear function?
Linear and non - linear Functions

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
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 can include quadratic, exponential, and other types of functions.
3.
FLASHCARD QUESTION
Front
How can you determine if a function is linear or nonlinear from a table of values?
Back
To determine if a function is linear from a table, check if the differences between consecutive y-values are constant for equal intervals of x. If they are constant, the function is linear; if not, it is nonlinear.
4.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is a measure of its steepness, represented by 'm' in the equation f(x) = mx + b. It is calculated as the change in y divided by the change in x (rise/run).
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by 'b' in the equation f(x) = mx + b.
6.
FLASHCARD QUESTION
Front
What is the rate of change in a linear function?
Back
The rate of change in a linear function is constant and is equal to the slope of the line. It indicates how much the output (y) changes for a unit change in the input (x).
7.
FLASHCARD QUESTION
Front
Can a linear function have a negative slope?
Back
Yes, a linear function can have a negative slope, which indicates that as the value of x increases, the value of y decreases.
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