Linear and Nonlinear Functions

Flashcard
•
Mathematics
•
8th - 10th Grade
•
Hard
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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 y = 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, cubic, or exponential.
3.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is Ax + By = C, where A, B, and C are constants.
4.
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 over run (change in y over 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 line crosses the y-axis, representing the value of y when x is 0.
6.
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 in the table.
7.
FLASHCARD QUESTION
Front
What is the difference between a linear graph and a nonlinear graph?
Back
A linear graph is a straight line, indicating a constant rate of change, while a nonlinear graph can be curved or have varying slopes.
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