Determine the intervals the graph is decreasing and concave down

The video tutorial explains how to identify inflection points and changes in concavity on a graph. It discusses intervals where the graph is concave up or down and how these relate to the slope being positive or negative. The tutorial emphasizes understanding the relationship between concavity changes and inflection points, providing specific intervals as examples.

What does it mean for a function to be concave down?

Explain the significance of inflection points in relation to concavity.

Identify the intervals where the function is concave down.

How can you determine if the slope of a function is negative?

What is the relationship between the intervals of concavity and the slopes of the function?