Given the graph of f ′(x), the derivative of f(x), which of the following statements are true about the graph of f(x)?

graph is an inverted parabola with x intercepts at x equals 0 and 4 and vertex at x equals 2.

the graph of f does not have a point of inflection.

the graph of f has a point of inflection at x = 2.

the graph of f has a critical point at x = 2.

i only

ii only

iii only

i and iii only

has a horizontal tangent line at , and it's clear from the plot that is increasing to the left and descreasing to the right. This means when , so there is an inflection point there and only statement II is true.

Statement III is not true because critical points only occur where or (possibly) when is undefined. Clearly when .

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

95.03 is the answer. hope this !