how to find the implied domain of a rational function - domain and range

The video tutorial explains the concepts of domain and range in functions, focusing on how to determine the domain by identifying constraints such as division by zero and square roots of negative numbers. It provides a step-by-step guide on solving equations to find the domain of a graph, emphasizing the importance of excluding values that lead to undefined operations.

What is a key requirement for a function regarding its input values?

• Each input can map to multiple outputs.

• Outputs can map to multiple inputs.

• Each input must map uniquely to an output.

• Inputs can be left unmapped.

Which of the following is a constraint when determining the domain of a function?

• Adding a negative number

• Dividing by zero

• Subtracting a positive number

• Multiplying by zero

How do you find the X values that are not part of the domain due to division by zero?

• Set the function greater than zero

• Set the numerator equal to zero

• Set the denominator equal to zero

• Set the entire function equal to zero

What inequality is used to determine the domain when dealing with square roots?

• Set the root equal to zero

• Set the root less than zero

• Set the root greater than or equal to zero

• Set the root greater than zero

In the context of domain constraints, what does the example X = -6 illustrate?

• A value that is irrelevant

• A value that is part of the domain

• A value that is excluded from the domain

• A value that is always included