Linear Functions

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•
Mathematics
•
9th - 10th 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 the slope of a linear function?
Back
The slope of a linear function is a measure of how steep the line is. It is calculated as the change in y divided by the change in x (rise/run).
3.
FLASHCARD QUESTION
Front
What is the y-intercept of a linear function?
Back
The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation f(x) = mx + b.
4.
FLASHCARD QUESTION
Front
How do you determine if a function is linear or nonlinear?
Back
A function is linear if it can be expressed in the form f(x) = mx + b. If it cannot be expressed in this form or if its graph is not a straight line, it is nonlinear.
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
Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?
Back
The domain is {-4, 0, 1, 2}.
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