Answer
x-int: (-.532, 0) (0.653, 0) (2.879, 0)
y-int: (0,-2)
Local Maximum: (2, 6)
Local Minimum: (0, -2)
See graph below.
Work Step by Step
The question asks for the graph, the x and y-intercepts, and the coordinates of all local extrema.
This graph will be done in Desmos; the gray dots on the graph represent the x-intercepts, y-intercepts, and all local extrema
Given $P(x) = -2x^3 + 6x^2 - 2$
See graph below.
x-int: (-.532, 0) (0.653, 0) (2.879, 0)
y-int: (0,-2)
Local Maximum: (2, 6)
Local Minimum: (0, -2)
