QuestionThe function $f(x)=2 x^{3}-21 x^{2}+36 x+2$ has one local minimum and one local maximum. Use a graph of the function to estimate these local extrema.
This function has a local minimum at $x=$ $\square$ with output value $\square$ and a local maximum at $x=$ $\square$ with output value $\square$ $\qquad$ Hint: Adjust the Interval (Points A and B) to focus the attention around where you think the local max and local min will be. $\qquad$