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 has a critical point at x = 0.
the graph of f has a critical point at x = 1.
the graph of f has a point of inflection at x = 1.
i only
ii only
iii only
i and iii only

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .