Unit 1 review - modeling 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 slope of a linear function represent?
Back
The slope of 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).
3.
FLASHCARD QUESTION
Front
How do you evaluate a function at a specific point?
Back
To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.
4.
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 intersects the y-axis. It is the value of f(x) when x = 0.
5.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
6.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce.
7.
FLASHCARD QUESTION
Front
How can you determine if a function is increasing or decreasing?
Back
A function is increasing if the output values rise as the input values increase. It is decreasing if the output values fall as the input values increase.
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