Question

@DanJS

Answer 1

k, let me read it, 1 sec

Answer 2

ok, so that graph shown is the derivative f ' (x)

Answer 3

The maximum/minimul values of the function f(x) will occur where this derivative fuction f ' (x) = 0 (crosses the x axis)

Answer 4

so C, f has a maximum at -1.5 is not true because f '(x) is not zero there

Answer 5

If you think of the graph as velocity, From -3 to 1, the velocity is always positive

Answer 6

so an object is always traveling in the same direction, velocity is increasing, then decreasing over the interval -3 to 1, but it never turns around

Answer 7

so B is correct f(x) - the position - is always increasing over x=-3 to x=1

Answer 8

To consider A) To find out about inflection poits, you need the second derivative, here the graph is linear down over that interval -1 to 1, so the second derivative will be a constant number... the slope of that line

Answer 9

looks like about -3

so from x=-1 to 1

the second derivative graph will be a horizontal line at y = -3

Answer 10

An inflection point, is where the second derivative is zero, and with it being -3 the whole time, it is never zero, so there are no inflection points from -1 to 1

Answer 11

yup B was correct(:

Answer 12

cool, yeah these things take a bit to get used to visualizing the graphs