The graph of the second derivative, f''(x), is given.
Determine the x-coordinates of all points of inflection of f(x), if any. (Assume that f(x) is defined and continuous everywhere in [−6, 6].) [HINT: Remember that a point of inflection of f corresponds to a point at which f'' changes sign from positive to negative or vice versa. This could be a point where its graph crosses the x-axis or a point where its graph is broken: positive on one side of the break and negative on the other.] (Enter your answers as a comma-separated list. If there are no points of inflection, enter DNE.)
The x y-coordinate plane is given. The curve starts at the point (−6, −2), goes up and right, passes through the point (−4, 0), exits the top of the window just to the left of x = −2, reenters the top of the window just to the right of x = −2, goes down and right, passes through the point (0, 2), goes up and right, exits the top of the window just to the left of x = 2, reenters the top of the window just to the right of x = 2, goes down and right, passes through the point (4, 0), and stops at the point (6, −2).
x =