Basic characteristics of a function graph

The video tutorial covers graph analysis, focusing on domain, range, intervals of change, discontinuities, extrema, symmetry, boundaries, and intercepts. It explains how to determine the domain and range, identify increasing, decreasing, and constant intervals, recognize discontinuities, and analyze extrema. The tutorial also discusses symmetry, graph boundaries, and behavior, concluding with an explanation of intercepts.

What is the definition of the domain in the context of a graph?

How is the range of a graph determined, and what is the range in this case?

Describe the intervals where the graph is increasing, decreasing, and constant.

What are discontinuities in a graph, and where do they occur in this example?

Identify the relative and absolute extrema of the graph.

What does it mean for a function to be even, odd, or neither, and what is the classification of this graph?

Explain the behavior of the graph as it approaches infinity in both directions.