The graph of the derivative
f ′
of a function f is shown.
The x y-coordinate plane is given. The curve begins at a closed point on the positive y-axis, goes down and right, crosses the x-axis at x = 1, changes direction at x = 2 in the fourth quadrant, goes up and right, crosses the x-axis at x = 3, changes direction at x = 4 in the first quadrant, goes down and right, crosses the x-axis at x = 5, and ends at a closed point at x = 6 in the fourth quadrant.
On what intervals is f increasing? (Enter your answer using interval notation.)
On what intervals is f decreasing? (Enter your answer using interval notation.)
At what values of x does f have a local maximum or minimum? (Enter your answers as a comma-separated list.)