Determining Domain and Range from Graphs

The video tutorial explains how to determine the domain and range from a graph. It begins with an introduction to the concepts of domain and range, followed by detailed explanations and examples. The domain is described as the set of all x-values, while the range is the set of all y-values. The tutorial emphasizes the importance of understanding the behavior of graphs, including the role of arrows indicating continuation to infinity. Several examples are provided to illustrate how to identify domain and range, including cases with infinite and finite boundaries. The video concludes with a summary of key points.

What is the domain of a function?

• The set of all X values

• The set of all Y values

• The set of all output values

• The set of all points on the graph

What does an arrow on a graph indicate?

• The graph changes direction

• The graph stops at that point

• The graph has a maximum value

• The graph continues infinitely in that direction

How do you determine the domain of a graph that extends infinitely in both directions?

• By finding the midpoint of the graph

• By noting that the domain is all real numbers

• By identifying the highest and lowest X values

• By identifying the highest and lowest Y values

What is the range of a graph that only includes positive Y values?

• Zero to one

• Zero to positive infinity

• Negative infinity to zero

• Negative infinity to positive infinity

If a graph starts at X=0 and extends to the right, what is its domain?

• Zero to positive infinity

• Negative infinity to zero

• Negative infinity to positive infinity

• Zero to one

What is the range of a graph that starts at Y=0 and extends upwards?

• Negative infinity to positive infinity

• Zero to positive infinity

• Negative infinity to zero

• Zero to one

How do you write the domain of a graph that includes all real numbers?

• Negative infinity to positive infinity

• Zero to positive infinity

• Negative infinity to zero

• Zero to one

What is the domain of a semicircle graph that spans from X=-2 to X=2?

• Negative two to positive two

• Negative infinity to positive infinity

• Zero to positive infinity

• Zero to two

What is the range of a semicircle graph that spans from Y=-3 to Y=0?

• Zero to positive infinity

• Zero to three

• Negative three to zero

• Negative infinity to positive infinity

When should you use brackets in interval notation?

• When the value is a midpoint

• When the value is an infinity

• When the value is not included in the domain or range

• When the value is included in the domain or range