quadratic vs linear vs exponential

Front

What is a linear function?

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Front

What is a quadratic function?

Back

Front

What is an exponential function?

Back

Front

How can you identify a quadratic function from its equation?

Back

Front

What is the general shape of a quadratic function's graph?

Back

Front

What does it mean for a function to be linear?

Back

A function is linear if it has a constant rate of change, meaning the difference between consecutive outputs is constant.

Front

What is the significance of the first differences in a function?

Back

The first differences of a function are the differences between consecutive outputs. If these differences are constant, the function is linear.

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How do you determine if a function is exponential?

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Front

What is the difference between linear and quadratic functions in terms of their graphs?

Back

Linear functions produce straight-line graphs, while quadratic functions produce parabolic graphs.

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What is the vertex of a quadratic function?

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The vertex of a quadratic function is the highest or lowest point on its graph, depending on the direction the parabola opens.