Answer
x-int: (-0.1, 0) (2.114, 0)
y-int: (0,-1)
Local Maximum: None
Local Minimum: (1.416, -14.456)
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 $P(x) = 3x^4 - 4x^3 - 10x - 1$
See graph below.
x-int: (-0.1, 0) (2.114, 0)
y-int: (0,-1)
Local Maximum: None
Local Minimum: (1.416, -14.456)