given the graph below, answer the following questions. at which labelled point is the function decreasing…
given the graph below, answer the following questions. at which labelled point is the function decreasing and concave up? point c at which labelled point does the function have an inflection point? point b
Answer
Explanation:
Step1: Understand decreasing and concave - up
A function is decreasing when its derivative is negative and concave up when its second - derivative is positive. At point C, as we move from left to right, the function is going down (decreasing) and the curve is opening upwards (concave up).
Step2: Understand inflection point
An inflection point is a point where the concavity of the function changes. At point B, the function changes from being concave down (curving downwards) to concave up (curving upwards).
Answer:
At which labelled point is the function decreasing and concave up? point C At which labelled point does the function have an inflection point? point B