Answer
x-int: (-3.024, 0) (1.334, 0) (1.867, 0)
y-int: (0,3)
Local Maximum: (0.532, 4.978)
Local Minimum: (-0.575, 0.597) (1.639, -1.629)
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 $P(x) = x^5 + x^4 - 7x^3 - x^2 + 6x + 3$
See graph below.
x-int: (-3.024, 0) (1.334, 0) (1.867, 0)
y-int: (0,3)
Local Maximum: (0.532, 4.978)
Local Minimum: (-0.575, 0.597) (1.639, -1.629)
