NOWAK Linear vs. Nonlinear functions

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What is a linear function?

Back

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Its graph can be curved or have varying slopes.

Front

How can you identify a linear function from its equation?

Back

Front

What does the slope of a linear function represent?

Back

Front

What is the y-intercept in a linear function?

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What is the general form of a quadratic function?

Back

Front

What is the difference between a linear and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

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

Back

A graph represents a function if every vertical line intersects the graph at most once. This is known as the vertical line test.

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What is the significance of the degree of a polynomial function?

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The degree of a polynomial function indicates the highest power of the variable in the function. It determines the function's behavior and the number of roots.

Front

How can you tell if a function is linear from its graph?

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A function is linear if its graph is a straight line, indicating a constant rate of change.