Answer
x-int: (-2.115, 0) (0.254, 0) (1.861, 0)
y-int: (0,1)
Local Maximum: (-1.155, 4.079)
Local Minimum: (1.155, -2.079)
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 $P(x) = x^3 - 4x + 1$
See graph below.
x-int: (-2.115, 0) (0.254, 0) (1.861, 0)
y-int: (0,1)
Local Maximum: (-1.155, 4.079)
Local Minimum: (1.155, -2.079)
