Domain & Range

Front

What is the definition of domain in a function?

Back

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

Front

What is the definition of range in 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 domain of a function given its equation?

Back

To determine the domain, identify any restrictions on the input values, such as division by zero or square roots of negative numbers.

Front

How do you determine the range of a function given its equation?

Back

To determine the range, analyze the output values produced by the function for all valid input values.

Front

What notation is commonly used to represent the domain of a function?

Back

The domain is often represented using interval notation, set notation, or as a list of values.

Front

What notation is commonly used to represent the range of a function?

Back

The range is also represented using interval notation, set notation, or as a list of values.

Front

What is the relationship between domain and range in a function?

Back

The domain consists of the input values, while the range consists of the output values that result from those inputs.

Front

What is an example of a function with a restricted domain?

Back

The function f(x) = 1/x has a restricted domain because x cannot be zero.

Front

What is an example of a function with a restricted range?

Back

The function f(x) = x^2 has a range of [0, ∞) because it cannot produce negative output values.

Front

What is the domain of the function f(x) = √(x-3)?

Back

The domain is [3, ∞) because the expression under the square root must be non-negative.