Linear vs NonLinear Functions

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What is a linear function?

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Front

What is a nonlinear function?

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A nonlinear function is a function that does not form a straight line when graphed. Its rate of change is not constant, and it can take various forms such as quadratic, exponential, or logarithmic.

Front

How can you identify a linear function from a table of values?

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A linear function will have a constant rate of change between the x-values and y-values. If the differences in y-values divided by the differences in x-values are the same, the function is linear.

Front

What is the general form of a quadratic function?

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What does the graph of a linear function look like?

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The graph of a linear function is a straight line that can slope upwards, downwards, or be horizontal.

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What does the graph of a nonlinear function look like?

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The graph of a nonlinear function can be curved, parabolic, or take other shapes, indicating that the relationship between x and y is not constant.

Front

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

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Front

What is the y-intercept in a linear function?

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Front

Can a linear function have a negative slope?

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Yes, a linear function can have a negative slope, which means that as x increases, y decreases.

Front

What is an example of a nonlinear function?

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