Linear and Nonlinear Functions
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
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 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 create a straight line when graphed. Its rate of change is not constant, and it can be represented by equations that include exponents, roots, or other non-linear terms.
3.
FLASHCARD QUESTION
Front
How can you determine if a graph is linear or nonlinear?
Back
You can determine if a graph is linear or nonlinear by checking if it forms a straight line. If the graph curves or has bends, it is nonlinear.
4.
FLASHCARD QUESTION
Front
What does it mean for a relation to be a function?
Back
A relation is a function if every input (x-value) has exactly one output (y-value). This means that no x-value is repeated with different y-values.
5.
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 y = mx + b. It indicates how much y changes for a unit change in x.
6.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept of a linear function is the point where the graph crosses the y-axis. It is represented by 'b' in the equation y = mx + b.
7.
FLASHCARD QUESTION
Front
Can a nonlinear function be a function?
Back
Yes, a nonlinear function can still be a function as long as each input has exactly one output. For example, y = x^2 is a nonlinear function that is still a function.
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