Understanding Domain and Range

The video tutorial explains how to determine the domain and range of a function represented as a set of points on a graph. It begins by defining the domain as the set of all possible x-values and the range as the set of all possible y-values. The tutorial then guides viewers through identifying ordered pairs from the graph and listing the domain and range in order. The video emphasizes the importance of listing each value only once, even if it appears multiple times in the graph.

What is the domain of a function?

• A set of all possible ranges

• A set of all possible ordered pairs

• A set of all possible inputs

• A set of all possible outputs

How do you determine the ordered pair for a point on a graph?

• By identifying the x-coordinate only

• By identifying the y-coordinate only

• By identifying both x and y coordinates

• By identifying the slope of the line

If a point on the graph is (-4, 5), what does this tell us about the domain and range?

• -4 is in the range, 5 is in the domain

• -4 is in the domain, 5 is in the range

• Both -4 and 5 are in the range

• Both -4 and 5 are in the domain

Which of the following is a correct list of domain values from the given points?

• {-6, -4, -2, 1, 3, 4}

• {-6, -4, -2, 1, 3}

• {-6, -4, -2, 3, 4}

• {-6, -4, -2, 1, 4}

What is the range of the function if the points are (-6,2), (-4,5), (-2,-2), (1,5), (3,1), and (4,-3)?

• {-3, -2, 1, 2, 5}

• {-3, -2, 2, 5}

• {-3, -2, 1, 5}

• {-3, -2, 1, 2}

Why is the number 5 listed only once in the range?

• Because it appears twice in the domain

• Because it is the highest value

• Because each value in the range is unique

• Because it appears twice as a y-coordinate

What is the significance of ordering the domain and range from least to greatest?

• It helps in identifying the function type

• It makes the list easier to read and understand

• It helps in solving equations

• It is required for all mathematical functions

What is the final domain of the function as discussed in the video?

• {-6, -4, -2, 1, 3, 4}

• {-6, -4, -2, 3, 4}

• {-6, -4, -2, 1, 3}

• {-6, -4, -2, 1, 4}

What is the final range of the function as discussed in the video?

• {-3, -2, 1, 2, 5}

• {-3, -2, 1, 2}

• {-3, -2, 2, 5}

• {-3, -2, 1, 5}