The graph of a polynomial function is given. P(x) = -1/2x^3 + 3/2x - 1
(a) From the graph, find the x- and y-intercepts. (If an answer does not exist, enter DNE.)
x-intercepts (x, y) = ( , ) (smaller x-value)
(x, y) = ( , ) (larger x-value)
y-intercept (x, y) = ( , )
(b) Find the coordinates of all local extrema. (If an answer does not exist, enter DNE.)
local minimum (x, y) = ( , )
local maximum (x, y) = ( , )