Exploring Domain and Range from Graphs

This video tutorial covers the concepts of domain and range in mathematics, focusing on how to identify them from tables and graphs. It begins with an introduction to the terms, explaining that the domain consists of all x-values (inputs) and the range consists of all y-values (outputs) of a function. The tutorial then demonstrates how to find domain and range using tables and graphs, providing examples and practice exercises. Advanced graph analysis techniques are also discussed, helping students understand how to determine the domain and range from more complex graphs.

What is the domain of a function?

• All values in the table

• All x values or inputs

• All points on the graph

• All y values or outputs

In a table, where are the x values typically located?

• In the right column

• In the middle column

• In the left column

• In the bottom row

What is the range of a function?

• All points on the graph

• All y values or outputs

• All values in the table

• All x values or inputs

Given the points (-1, 3), (3, 2), and (-2, -4), what is the domain?

• 1, 2, 3

• 3, 2, -4

• -2, -1, 3

• -1, 3, -2

Given the points (-1, 3), (3, 2), and (-2, -4), what is the range?

• -1, 3, -2

• 1, 2, 3

• 3, 2, -4

• -4, 2, 3

How do you determine the domain of a graph with continuous lines?

• By adding all the x values

• By counting the number of points

• By looking at the highest and lowest x values

• By looking at the highest and lowest y values

How do you determine the range of a graph with continuous lines?

• By counting the number of points

• By adding all the y values

• By looking at the highest and lowest y values

• By looking at the highest and lowest x values

What is the domain of a graph that extends from x = -5 to x = 3?

• x < -5 and x > 3

• x = -5 and x = 3

• x > -5 and x < 3

• x > -5 or x < 3

What is the range of a graph that extends from y = -2 to y = 6?

• y > -2 and y < 6

• y = -2 and y = 6

• y < -2 and y > 6

• y > -2 or y < 6

If a graph extends from x = -2 to x = 7 and y = -3 to y = 6, what is the range?

• -2 to 7

• -3 to 6

• -2 to 6

• -3 to 7