Use graphing calculator to find the zeros and local maximum ad minimum of polynomial functions. f(x) = x^(3) - 5x^(2) +5x-1

Question

Use graphing calculator to find the zeros and local maximum ad minimum of polynomial functions.


`f(x) = x^(3) - 5x^(2) +5x-1`

Answer 1

The graph in the attached figure

Explanation:

we have

`f(x)=x^(3)-5x^(2)+5x-1`

using a graphing tool

see the attached figure

The local maximum is the point
`(0.61.0.42)`

The local minimum is the point
`(2.72,-4.27)`

The zeros of the function are
`(0.27,0)`,
`(1,0)`,
`(3.73,0)`