Question

a certain graph is decreasing, but at a decreasing rate. discuss its concavity. concave up turning point inflection point concave down

Explanation:

If a graph is decreasing at a decreasing rate, the slope of the tangent lines (first - derivative) is negative and is increasing (becoming less negative). The second - derivative, which determines concavity, is positive when the first - derivative is increasing. A positive second - derivative means the graph is concave up.

Answer:

A. concave up