What is a linear function?
Linear and Non-Linear Relationships in Equations, Tables and Graphs

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Mathematics
•
8th - 9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What is a non-linear function?
Back
A non-linear function is a function that does not form a straight line when graphed. Its graph can be a curve or any shape that is not a straight line.
3.
FLASHCARD QUESTION
Front
How can you identify a linear function from a table of values?
Back
A linear function will have a constant rate of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are constant, the function is linear.
4.
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 y changes for a unit change in x.
5.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the equation y = mx + b.
6.
FLASHCARD QUESTION
Front
What is the general form of a quadratic function?
Back
The general form of a quadratic function is y = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.
7.
FLASHCARD QUESTION
Front
How can you tell if a graph is a function?
Back
A graph represents a function if every vertical line drawn through the graph intersects it at most once. This is known as the vertical line test.
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