Understanding Graph Characteristics

This video tutorial covers the characteristics of graphs, focusing on vertical and horizontal intercepts, and how to identify them on a graph. It explains the behavior of graphs as increasing, decreasing, or constant, and how to identify these intervals. The tutorial also discusses local maxima and minima, providing examples to illustrate these concepts. By the end, viewers will understand how to analyze and interpret different aspects of graph behavior.

What is the input value of a vertical intercept?

• Always one

• Always negative

• Always zero

• Depends on the graph

Where does a horizontal intercept occur on a graph?

• Where the graph crosses the vertical axis

• Where the graph crosses the horizontal axis

• At the origin

• At the highest point of the graph

What is the output value of a horizontal intercept?

• Always zero

• Always one

• Always positive

• Depends on the graph

How many horizontal intercepts does a graph have if it crosses the horizontal axis at two points?

• None

• Three

• One

• Two

What does it mean if a graph is increasing?

• Inputs increase, outputs decrease

• Inputs and outputs both decrease

• Inputs decrease, outputs increase

• Inputs and outputs both increase

What is the behavior of a graph that is constant?

• It forms a curve

• It stays horizontal

• It goes downhill

• It goes uphill

What is a local maximum?

• A point where the graph changes from decreasing to increasing

• The point where the graph crosses the horizontal axis

• A point where the graph changes from increasing to decreasing

• The lowest point on a graph

What is a local minimum?

• The highest point on a graph

• A point where the graph changes from increasing to decreasing

• The point where the graph crosses the vertical axis

• A point where the graph changes from decreasing to increasing

At what input value does the local maximum occur in the example provided?

• Positive three

• Positive one

• Negative one

• Negative three

At what input value does the local minimum occur in the example provided?

• Positive three

• Negative one

• Negative three

• Positive one