Linear vs. Nonlinear Functions Day 3
Flashcard
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Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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 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.
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. It has a variable rate of change and can include curves, parabolas, and other shapes.
3.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph does not represent a function.
4.
FLASHCARD QUESTION
Front
How can you tell if a table represents a linear function?
Back
A table represents a linear function if the differences between consecutive y-values divided by the differences between consecutive x-values are constant.
5.
FLASHCARD QUESTION
Front
What does it mean if a function is not a function?
Back
If a relation is not a function, it means that there are at least two different inputs (x-values) that produce the same output (y-value), violating the definition of a function.
6.
FLASHCARD QUESTION
Front
Give an example of a linear function.
Back
An example of a linear function is f(x) = 2x + 3, which represents a straight line with a slope of 2 and a y-intercept of 3.
7.
FLASHCARD QUESTION
Front
Give an example of a nonlinear function.
Back
An example of a nonlinear function is f(x) = x^2, which represents a parabola that opens upwards.
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