Understanding Domain and Range from Graphs

The video tutorial explains how to determine the domain and range of a function from its graph. The domain is the set of all possible x-values, found along the horizontal axis, while the range is the set of all possible y-values, found along the vertical axis. The tutorial guides viewers through identifying the domain by examining the graph from left to right and the range by analyzing the graph vertically. It also covers expressing these sets using interval notation and inequalities.

What is the domain of a function?

• The highest point on the graph

• The set of all possible x-values

• The lowest point on the graph

• The set of all possible y-values

How do you identify the domain on a graph?

• By looking at the vertical axis

• By checking the color of the graph

• By finding the highest point

• By observing the graph from left to right

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

• The value is included in the domain

• The value is not included in the domain

• The value is the highest point

• The value is the lowest point

How is the domain expressed using interval notation?

• Using curly braces

• Using a combination of square brackets and rounded parentheses

• Using rounded parentheses for all values

• Using square brackets for all values

What is the range of a function?

• The set of all possible y-values

• The set of all possible x-values

• The leftmost point on the graph

• The rightmost point on the graph

How do you identify the range on a graph?

• By looking at the horizontal axis

• By observing the graph from top to bottom

• By checking the color of the graph

• By finding the leftmost point

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

• The value is the highest point

• The value is included in the range

• The value is the lowest point

• The value is not included in the range

How is the range expressed using interval notation?

• Using square brackets for all values

• Using a combination of square brackets and rounded parentheses

• Using curly braces

• Using rounded parentheses for all values

What is the significance of the highest point on a graph for the range?

• It determines the upper limit of the range

• It is the midpoint of the range

• It is not part of the range

• It determines the lower limit of the range

How can the range be expressed using inequalities?

• By stating x is greater than or equal to the lowest point

• By stating y is greater than or equal to the lowest point and less than or equal to the highest point

• By stating y is less than the highest point

• By stating x is less than the lowest point