Characteristics of functions

The video tutorial covers key mathematical concepts such as domain, range, discontinuities, extrema, boundedness, end behavior, intercepts, symmetry, and intervals of increase, decrease, and constancy. It provides detailed explanations and examples to help students understand these concepts and apply them to graph analysis.

What is the definition of the domain of a graph?

How do you determine the range of a graph?

What does it mean for a graph to be continuous?

What is a removable discontinuity, and how does it differ from a non-removable discontinuity?

Explain the concept of extrema in the context of a graph.

Describe the difference between absolute and relative maximums.

What is boundedness in relation to a graph?

How do you identify the X and Y intercepts of a graph?

What is the significance of symmetry in a graph?

How can you determine when a graph is increasing or decreasing?