Functions (Domain & Range)

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

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

How do you determine the range of a function given a specific domain?

Back

To determine the range, substitute each value from the domain into the function and collect the resulting output values.

Front

What is the difference between the domain and range?

Back

The domain refers to the input values of a function, while the range refers to the output values.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input value corresponds to more than one output value.

Front

Which axis on a graph represents the independent variable?

Back

The x-axis represents the independent variable.

Front

Which axis on a graph represents the dependent variable?

Back

The y-axis represents the dependent variable.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is {(1, 2), (1, 3)}, where the input 1 corresponds to two different outputs.