The graph of a function f is given. Use the graph to estimate the following:
(a) All the local maximum and minimum values of the function and the value of x at which each occurs.
local maximum (x, y) = ( 0,0 ) (smaller x-value)
local maximum (x, y) = ( 10,4 ) (larger x-value)
local minimum (x, y) = ( -6,12 ) (smaller x-value)
local minimum (x, y) = ( 4, - 8 ) (larger x-value)
(b) The intervals on which the function is increasing and on which the function is decreasing. (Enter your answers using interval notation.)
increasing ( -6,0 ) U ( 4,10 )
decreasing ( -inf, - 6 ) U ( 0,4 ) U ( 10,inf )