Linear and Nonlinear Functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
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16 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 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 graph can be a curve or any shape that is not linear, such as quadratic or exponential functions.
3.
FLASHCARD QUESTION
Front
What does it mean for a relation to be 'Not a Function'?
Back
A relation is 'not a function' if there are at least two ordered pairs with the same first element but different second elements. This violates the definition of a function, which states that each input must have exactly one output.
4.
FLASHCARD QUESTION
Front
Give an example of a Linear Function.
Back
An example of a linear function is f(x) = 2x + 3. This function has a constant rate of change and its graph is a straight line.
5.
FLASHCARD QUESTION
Front
Give an example of a Nonlinear Function.
Back
An example of a nonlinear function is f(x) = x^2. This function forms a parabola when graphed, which is not a straight line.
6.
FLASHCARD QUESTION
Front
What is the slope in a linear function?
Back
The slope (m) in a linear function represents the rate of change of the function. It indicates how much the output (y) changes for a unit change in the input (x).
7.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept (b) in a linear function is the point where the graph intersects the y-axis. It represents the value of the function when x = 0.
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