Use graphing calculator to find the zeros and local maximum ad minimum of polynomial functions. f(x) =x^(3) -9x+5

Question

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


`f(x) =x^(3) -9x+5`

Answer 1

The graph in the attached figure

Explanation:

we have

`f(x)=x^(3)-9x+5`

using a graphing tool

see the attached figure

The local maximum is the point
`(-1.73,15.39)`

The local minimum is the point
`(1.73,-5.39)`

The zeros of the function are
`(-3.25,0)`,
`(0.58,0)`,
`(2.67,0)`