Linear Non Linear

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What is a linear function?

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A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is a nonlinear function?

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A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve or any shape that is not a straight line.

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CCSS.8.F.A.3

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What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph is not a function.

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What is the horizontal line test?

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The horizontal line test is used to determine if a function is one-to-one. If any horizontal line intersects the graph at more than one point, then the function is not one-to-one.

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What does it mean for a relation to be a function?

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A relation is a function if every input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

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Can a function have repeated x-values?

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No, a function cannot have repeated x-values with different y-values. If an x-value is repeated with different y-values, it is not a function.

Tags

CCSS.8.F.A.1

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What is an example of a linear function?

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An example of a linear function is f(x) = 2x + 3, which graphs to a straight line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What is an example of a nonlinear function?

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An example of a nonlinear function is f(x) = x^2, which graphs to a parabola.

Tags

CCSS.8.F.A.3

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How can you tell if a table represents a function?

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You can tell if a table represents a function by checking if each x-value is paired with only one y-value.

Tags

CCSS.8.F.A.1

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Tags

CCSS.8.EE.B.5