Question

how do I answer and what would be the answer?

Answer 1

EXPLANATION

Since we have the expression:

$f(x)=x^3-4x^2+5x+9$

Zeros:

The y-intercepts are all the values of x that makes y=0:

The approximate real zeros are at: (-0.94,0)

Relative local minima:

The relative local minima is at (1.8,10.9)

Relative local maxima:

The relative local maxima is at (1,11)

Extreme absolute minimum:

This function has not an extreme absolute minimum:

Extreme absolute maximum:

This function has not an extreme absolute maximum:

Intervals of increase:

The intervals of increase are at: (-∞,1)U(2,∞)

Intervals of decrease:

The intervals of decrease are at: (1,2)