Key Features of Linear Functions

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•
Mathematics
•
9th Grade
•
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 the form f(x) = mx + b, where m is the slope and b is the y-intercept.
2.
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 as (0, b) in the function f(x) = mx + b.
3.
FLASHCARD QUESTION
Front
How do you find the y-intercept using the cover-up method?
Back
To find the y-intercept using the cover-up method, set x = 0 in the equation and solve for y.
4.
FLASHCARD QUESTION
Front
What is the x-intercept of a linear function?
Back
The x-intercept is the point where the graph of the function crosses the x-axis. It is represented as (a, 0) in the function.
5.
FLASHCARD QUESTION
Front
How do you find the x-intercept of a linear equation?
Back
To find the x-intercept, set y = 0 in the equation and solve for x.
6.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope (m) of a linear function represents the rate of change of y with respect to x. It is calculated as the change in y divided by the change in x.
7.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a linear function?
Back
A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.
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