Exploring Domain and Range from Graphs

The video tutorial explains how to find the domain and range of a function graphically. It begins with an introduction to the concepts of domain and range, defining them as the set of all possible x-values (inputs) and y-values (outputs) of a function, respectively. The tutorial then demonstrates how to determine these values from a graph, using examples with filled, open, and closed circles to illustrate the process. It also distinguishes between continuous and discrete graphs, explaining how to list domain and range for discrete graphs by identifying ordered pairs.

What is the domain of a function?

• The set of all possible outputs

• The set of all possible y values

• The set of all possible x values

• The set of all possible z values

In a function, what do the y values represent?

• Both inputs and outputs

• Outputs

• Inputs

• Neither inputs nor outputs

How do you find the smallest x value in a graph?

• Look at the highest point on the graph

• Look at the lowest point on the graph

• Look at the leftmost point on the graph

• Look at the rightmost point on the graph

What does a filled-in circle on a graph indicate?

• The value is not part of the solution set

• The value is part of the solution set

• The value is unknown

• The value is an approximation

How do you write the domain in set notation for a continuous graph with filled-in circles?

• Using inequalities with less than symbols

• Using inequalities with less than or equal to symbols

• Using greater than symbols

• Listing all possible x values

What does an open circle on a graph indicate?

• The value is part of the solution set

• The value is not part of the solution set

• The value is an approximation

• The value is unknown

How do you write the domain in set notation for a continuous graph with an open circle?

• Using greater than symbols

• Listing all possible x values

• Using inequalities with less than or equal to symbols

• Using inequalities with less than symbols

What is the difference between continuous and discrete graphs?

• Continuous graphs have connected points; discrete graphs have unconnected points

• Both have unconnected points

• Continuous graphs have unconnected points; discrete graphs have connected points

• Both have connected points

How do you find the domain for a discrete graph?

• List all possible x values

• Use greater than symbols

• List all possible y values

• Use inequalities

How do you find the range for a discrete graph?

• List all possible x values

• Use inequalities

• List all possible y values

• Use greater than symbols