Understanding Domain and Range

The video tutorial explains how to determine the domain and range of a function using its graph. It covers the concepts of domain as the set of all possible x-values and range as the set of all possible y-values. The tutorial demonstrates how to express these using interval notation and compound inequalities. It provides a step-by-step analysis of the graph to identify the domain and range, highlighting the importance of open and closed points in determining the inclusion of endpoints.

What is the domain of a function?

• The set of all possible a-values

• The set of all possible z-values

• The set of all possible x-values

• The set of all possible y-values

How do we determine the domain of a function from its graph?

• By analyzing the graph from bottom to top

• By analyzing the graph from top to bottom

• By analyzing the graph from left to right

• By analyzing the graph from right to left

What does an open point on a graph indicate about the domain?

• The endpoint is halved

• The endpoint is doubled

• The endpoint is not included

• The endpoint is included

What is the domain of the function in the given example?

• (-6, 4)

• [-5, 5]

• (-5, 5)

• [-6, 4]

In a compound inequality for the domain, what does 'x > -6 and x < 4' mean?

• x is greater than -6 and less than 4, excluding both

• x is greater than -6 and less than 4, including both

• x is between -6 and 4, excluding both

• x is between -6 and 4, including both

What is the range of a function?

• The set of all possible z-values

• The set of all possible a-values

• The set of all possible y-values

• The set of all possible x-values

How do we determine the range of a function from its graph?

• By analyzing the graph horizontally

• By analyzing the graph diagonally

• By analyzing the graph vertically

• By analyzing the graph circularly

What does a closed point on a graph indicate about the range?

• The endpoint is doubled

• The endpoint is not included

• The endpoint is included

• The endpoint is halved

In interval notation, what do square brackets indicate?

• Endpoints are included

• Endpoints are halved

• Endpoints are not included

• Endpoints are doubled

What is the range of the function in the given example?

• (-6, 4)

• (-5, 5)

• [-6, 4]

• [-5, 4]