Linear vs Non Linear Functions

Front

What is the main characteristic of a linear function?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.

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CCSS.HSF-LE.A.1B

Front

What is a non-linear function?

Back

A non-linear function does not have a constant rate of change and its graph is not a straight line.

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CCSS.8.F.A.3

Front

How can you identify a non-linear equation?

Back

You can identify a non-linear equation by looking for exponents, variables multiplied together, or other non-linear terms.

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CCSS.8.F.A.3

Front

What does the graph of a linear function look like?

Back

The graph of a linear function is a straight line.

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the graph of a non-linear function look like?

Back

The graph of a non-linear function can be curved or have bends, such as parabolas or circles.

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What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

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CCSS.8.EE.B.6

CCSS.8.F.A.3

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.

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

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CCSS.8.EE.B.5

Front

Can a linear function have a slope of zero?

Back

Yes, a linear function can have a slope of zero, which means it is a horizontal line.

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CCSS.8.EE.B.5

Front

What is an example of a non-linear function?

Back

An example of a non-linear function is y = x^2, which represents a parabola.

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CCSS.8.F.A.3