Function&FunFacts

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 function name and 'x' is the input variable.

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How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify.

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 (Vertical Line Test).

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.

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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.

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What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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What is a constant function?

Back

A constant function is a function that always returns the same value regardless of the input, represented as f(x) = c, where c is a constant.

Front

What is a mapping in mathematics?

Back

A mapping is a relation that assigns each element from one set to exactly one element in another set.