What is a linear function?
Identifying Linear and Nonlinear 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 it can take various forms such as quadratic, exponential, or logarithmic.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are the same, the function is linear.
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, calculated as the change in y divided by the change in x (rise/run). It indicates how much y changes for a unit change in x.
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 represents the value of y when x is 0.
6.
FLASHCARD QUESTION
Front
Can a linear function have a negative slope?
Back
Yes, a linear function can have a negative slope, which means that as x increases, y decreases.
7.
FLASHCARD QUESTION
Front
What is an example of a nonlinear function?
Back
An example of a nonlinear function is f(x) = x^2, which represents a parabola when graphed.
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