Master how to determine the domain and range from a graph

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, emphasizing the importance of identifying x and y values on a graph. The tutorial discusses the significance of graph arrows, which indicate the graph's continuation towards infinity. Through various examples, the video demonstrates how to determine domain and range, using different notations and highlighting the importance of understanding graph behavior. The tutorial concludes with a summary of key points, emphasizing the use of brackets and parentheses in notation.

What is the domain of a function?

• The set of all y values

• The set of all x values

• The set of all z values

• The set of all constant values

What does an arrow on a graph indicate?

• The graph changes direction

• The graph has a maximum value

• The graph continues indefinitely

• The graph stops at that point

How can the range of a function be described?

• The set of all input values

• The set of all x values

• The set of all y values

• The set of all constant values

Which notation is preferred in upper-level math for domain and range?

• Interval notation

• Set notation

• Graphical notation

• Tabular notation

What is the domain of a graph that extends infinitely to the right?

• From 0 to 10

• From negative infinity to 0

• From 0 to infinity

• From negative infinity to infinity

What is the range of a graph that only goes up to y=6?

• From negative 6 to 6

• From negative infinity to 6

• From 0 to 6

• From 6 to infinity

In the context of graphs, what does a closed bracket indicate?

• The graph is discrete

• The graph is continuous

• The value is included

• The value is not included

How do you denote a value that is not included in the domain or range?

• With a parenthesis

• With an open bracket

• With a closed bracket

• With a curly brace

What is the domain of a semi-circle graph that spans from x=-2 to x=2?

• From -3 to 3

• From -2 to 0

• From 0 to 2

• From -2 to 2

What is the range of a graph that does not go below y=0?

• From negative infinity to 0

• From -10 to 10

• From 0 to infinity

• From 0 to 10