What is a function?
3.2 Linear Functions

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
2.
FLASHCARD QUESTION
Front
Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)
Back
(6,-5) (7, -3) (8, -1) (9, 1) is a function because each first element (x-value) is unique.
3.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.
4.
FLASHCARD QUESTION
Front
What is a nonlinear function?
Back
A nonlinear function is a function that does not form a straight line when graphed, meaning it can have curves or bends.
5.
FLASHCARD QUESTION
Front
How can you determine if a graph represents a function?
Back
A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).
6.
FLASHCARD QUESTION
Front
Is the equation y = 2x + 3 linear or nonlinear?
Back
Linear.
7.
FLASHCARD QUESTION
Front
Is the equation y = x^2 + 2 linear or nonlinear?
Back
Nonlinear.
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