Is my answer choice correct?
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 parabola with x intercepts at x equals 0 and 3 and vertex at x equals 1.
the graph of f is decreasing on the interval (0, 2).
the graph of f is increasing on the interval (1, infinity).
the graph of f has point of inflection at x = 0.
i only
ii only
iii only
none of these are true

Step-by-step explanation:

Among the options, II statement is the only one that is true.

The parabola is showing an increase from to infinite, which is the second statement.

Other options are just false, because the function is not decreasing from 0 to 2, is decreasing from negative infinite to 1.

Statement III is also false because at there's no inflection point, it's locate at .

Therefore, the only true statement is II.

2

step-by-step explanation: