Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=x^{3}-5x^{2}+5x-1[/tex]
using a graphing tool
see the attached figure
The local maximum is the point [tex](0.61.0.42)[/tex]
The local minimum is the point [tex](2.72,-4.27)[/tex]
The zeros of the function are [tex](0.27,0)[/tex], [tex](1,0)[/tex], [tex](3.73,0)[/tex]