11.1 Linear vs. Nonlinear Functions Exit Ticket

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What is a linear function?

Back

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

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What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be curved or have different shapes.

Front

How can you identify a linear function from its graph?

Back

A linear function will have a straight line when graphed, with a constant slope.

Front

How can you identify a nonlinear function from its graph?

Back

A nonlinear function will have a curve or a shape that is not a straight line when graphed.

Front

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

Back

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

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What is an example of a linear equation?

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An example of a linear equation is y = 2x + 3.

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What is an example of a nonlinear equation?

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An example of a nonlinear equation is y = x^2.

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What is the slope in a linear function?

Back

The slope is a number that describes the steepness of the line in a linear function.

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What is the y-intercept in a linear function?

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The y-intercept is the point where the line crosses the y-axis.

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Can a vertical line be a function?

Back

No, a vertical line is not a function because it does not pass the vertical line test (it has multiple outputs for one input).