Abdullah - Functions Flashcard

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is the difference between input and output in a function?

Back

Input refers to the x-values (independent variable), while output refers to the y-values (dependent variable).

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is paired with exactly one input value.

Front

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of another variable (usually the output in a function).

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What is an independent variable?

Back

An independent variable is a variable that stands alone and isn't affected by other variables (usually the input in a function).

Front

How do you find the domain of a set of ordered pairs?

Back

The domain is found by listing all the first elements (x-values) of the ordered pairs.

Front

How do you find the range of a set of ordered pairs?

Back

The range is found by listing all the second elements (y-values) of the ordered pairs.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can represent a function if each input is associated with exactly one output.