functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

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What is the notation for a function?

Back

The notation for a function is typically f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

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

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed, such as quadratic or exponential functions.

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the input value into the function's equation.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

What is the slope of a linear function?

Back

The slope of a linear function is the rate of change of the function, represented by 'm' in the equation f(x) = mx + b.