Linear and Non-Linear Functions

Flashcard
•
Mathematics
•
8th - 9th 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 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, a circle, or any other shape that is not a straight line.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from its graph?
Back
A linear function can be identified by its straight-line graph. If the graph has a constant slope and does not curve, it is linear.
4.
FLASHCARD QUESTION
Front
How can you identify a nonlinear function from its graph?
Back
A nonlinear function can be identified by its curved graph. If the graph changes direction or has varying slopes, it is nonlinear.
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 f(x) = mx + b. It indicates how much y changes for a unit change in x.
6.
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 is represented by 'b' in the equation f(x) = mx + b.
7.
FLASHCARD QUESTION
Front
Can a linear function have a slope of zero?
Back
Yes, a linear function can have a slope of zero, which means it is a horizontal line. This indicates that the output value (y) does not change regardless of the input value (x).
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