Linear and Nonlinear Functions

Front

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 rate of change is not constant, and it can take various forms such as quadratic, exponential, or logarithmic.

Front

Back

Nonlinear

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Back

Linear

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What does it mean for a graph to be linear?

Back

A graph is linear if it can be represented by a straight line, indicating a constant rate of change between the variables.

Front

What does it mean for a graph to be nonlinear?

Back

A graph is nonlinear if it cannot be represented by a straight line, indicating a variable rate of change between the variables.

Front

What is the slope of a linear function?

Back

Front

What is the y-intercept of a linear function?

Back

Front

Can a function be both linear and nonlinear?

Back

No, a function cannot be both linear and nonlinear. It is either one or the other based on its graph and equation.