How to determine the domain and range of three graphs

The video tutorial explains how to find the domain and range of function graphs. It begins with an introduction to the concepts of domain and range, followed by detailed explanations and examples for each. Techniques for determining the domain and range of various functions are demonstrated, emphasizing the importance of understanding x-values for domain and y-values for range. The tutorial also highlights common misconceptions and provides strategies to avoid them.

What is the domain of a function?

• The set of all output values

• The set of all x-values

• The set of all y-values

• The set of all input values

How can you determine if a value is part of the domain?

• Check if the function is differentiable at that point

• Check if the function is continuous at that point

• Check if the function has an x-value at that point

• Check if the function has a y-value at that point

What does it mean if a graph extends infinitely to the right?

• The domain includes all real numbers

• The domain includes only negative x-values

• The domain is limited

• The domain includes all positive x-values

What is the range of a function?

• The set of all x-values

• The set of all input values

• The set of all real numbers

• The set of all y-values

How do you determine the range of a function?

• By identifying all possible x-values

• By identifying all possible y-values

• By identifying all possible output values

• By identifying all possible input values

What is the range of a function that extends infinitely upwards?

• From one to infinity

• From negative infinity to zero

• From zero to infinity

• All real numbers

Why is it important to understand the domain and range of a function?

• To solve the function's derivatives

• To determine the function's continuity

• To understand the function's behavior

• To find the function's intercepts