Graph Behavior and Characteristics

This video tutorial covers the identification of key characteristics of graphs, including domain, range, maxima, minima, zeros, intercepts, end behavior, and intervals of increase and decrease. The instructor provides detailed explanations and examples to help students understand how to analyze and interpret these features in graphs.

What does the domain of a function represent?

• The Y values of a function

• The X values of a function

• The highest point of a function

• The lowest point of a function

How is the range of a graph defined?

• From left to right

• From top to bottom

• From right to left

• From bottom to top

What is the domain of a graph that extends infinitely in both directions?

• 0 to Infinity

• Negative Infinity to 0

• Negative Infinity to Positive Infinity

• 0 to Positive Infinity

What is the range of a graph that extends infinitely upwards and downwards?

• 0 to Positive Infinity

• Negative Infinity to Positive Infinity

• 0 to 1

• Negative Infinity to 0

What is an absolute maximum?

• The lowest point on the graph

• The highest point on the graph

• A point where the graph changes direction

• A point where the graph is flat

What is a relative maximum?

• A point lower than its immediate surroundings

• The lowest point on the graph

• A point higher than its immediate surroundings

• The highest point on the graph

What is the absolute minimum of a graph that extends downwards infinitely?

• Negative Infinity

• None

• 0

• Positive Infinity

What is a relative minimum?

• The lowest point on the graph

• The highest point on the graph

• A point higher than its immediate surroundings

• A point lower than its immediate surroundings

What are zeros in a graph?

• The lowest points on the graph

• The highest points on the graph

• Points where the graph touches the X-axis

• Points where the graph touches the Y-axis

What is the Y-intercept of a graph?

• The point where the graph crosses the X-axis

• The point where the graph crosses the Y-axis

• The highest point on the graph

• The lowest point on the graph