Exploring Domain and Range with Interval Notation

The video tutorial explains how to find the domain and range of graphs, using interval notation and inequalities. It covers the use of parentheses and brackets to denote open and closed intervals, respectively. Several examples are provided to illustrate the process of identifying domain and range, including cases where the domain is all real numbers. The tutorial emphasizes looking at graphs from left to right for domain and from down to up for range, and it provides practice exercises for learners.

What does the domain of a graph represent?

• All the Y values that make up the graph

• All the X values that make up the graph

• The highest point on the graph

• The lowest point on the graph

Which of the following is true about the range of a graph?

• It includes all the X values

• It is always a finite set

• It includes all the Y values

• It is always an infinite set

In interval notation, what symbol is used to represent an open circle?

• Parenthesis

• Bracket

• Square bracket

• Curly brace

How do you denote a closed circle in interval notation?

• Square bracket

• Bracket

• Curly brace

• Parenthesis

When finding the domain of a graph, in which direction should you look?

• From up to down

• From down to up

• From left to right

• From right to left

If a graph goes on forever to the left, what is the domain's starting point?

• One

• Zero

• Positive infinity

• Negative infinity

What is the range of a graph that goes on forever upwards?

• From zero to a finite number

• From negative infinity to infinity

• From negative infinity to zero

• From zero to infinity

How do you represent infinity in interval notation?

• With a square bracket

• With a curly brace

• With a parenthesis

• With a bracket

What does a solid dot on a graph indicate in interval notation?

• Use of a square bracket

• Use of a curly brace

• Use of a bracket

• Use of a parenthesis

When looking for the range of a graph, in which direction should you look?

• From up to down

• From right to left

• From left to right

• From down to up