The graph of a polynomial function is given px 12 x3 32 X

The graph of a polynomial function is given. p(x) = - 1/2 x^3 + 3/2 X - 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)

Solution

X- Intercepts are the points where graph of P(x) touches or cuts X- axis.

In the given graph of P(x), we can see that the graph touches x-axis at x=1 and cuts x axis at x=-2,

Hence, X intercepts: - (x,y) = (-2,0)

                              (x,y) = (1,0)