Graphing Functions and Inequalities

The video tutorial covers three examples of finding the domain and range of graphs. The first example involves a graph with a closed circle at negative three and an arrow indicating infinity. The second example demonstrates a graph with domain and range as all real numbers. The third example shows a graph with open and closed circles, explaining how to write inequalities for domain and range. The tutorial emphasizes understanding graph features to determine domain and range accurately.

In the first example, what is the starting point of the domain?

• -3

• 0

• Infinity

• 3

For the first example, what is the range of the graph?

• 0 to 3

• 0 to infinity

• -3 to infinity

• -infinity to infinity

In the first example, what does the arrow at the end of the graph indicate?

• The graph stops

• The graph continues indefinitely

• The graph loops back

• The graph changes direction

What symbol is used to indicate a closed circle in inequalities?

• ≥

• ≤

• >

• <

How is infinity represented in inequalities?

• With an underline

• With an open circle

• With no underline

• With a closed circle

What is the significance of a closed circle on a graph?

• It represents infinity

• It shows a value is included

• It marks an endpoint

• It indicates a starting point

In the second example, how is the domain described?

• All real numbers

• 0 to infinity

• -3 to 3

• -infinity to 0

What does it mean when a graph's range is all real numbers?

• It has a finite range

• It extends from negative infinity to infinity

• It starts at zero

• It ends at zero

In the second example, what is the range of the graph?

• All real numbers

• 0 to infinity

• -3 to 3

• -infinity to 0

What does a graph extending to the left and right indicate about its domain?

• It is zero

• It is all real numbers

• It is finite

• It is limited