Domain and Range

Front

What is the definition of DOMAIN in mathematics?

Back

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

Front

What is the definition of RANGE in mathematics?

Back

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

Front

How do you determine the domain of a function?

Back

Identify all the x-values that can be input into the function without causing any mathematical errors (like division by zero or taking the square root of a negative number).

Front

How do you determine the range of a function?

Back

Evaluate the function to find all possible output values (y-values) based on the domain.

Front

What is the domain of a linear function?

Back

The domain of a linear function is typically all real numbers, expressed as (-∞, ∞).

Front

What is the range of a linear function?

Back

The range of a linear function is also typically all real numbers, expressed as (-∞, ∞).

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers, expressed as (-∞, ∞).

Front

What is the range of a quadratic function that opens upwards?

Back

The range is from the vertex's y-value to positive infinity, expressed as [k, ∞) where k is the vertex's y-value.

Front

What is the range of a quadratic function that opens downwards?

Back

The range is from negative infinity to the vertex's y-value, expressed as (-∞, k] where k is the vertex's y-value.

Front

What is the domain of a square root function?

Back

The domain is all x-values for which the expression under the square root is non-negative.