SOLUTION: Given the graph of the function y=x^3-3x^2-6x+8, answer the following. All answers must be rounded properly to one decimal place The plotted points on the graph are (1,2) (0.652

Question 1174622: Given the graph of the function y=x^3-3x^2-6x+8, answer the following.
All answers must be rounded properly to one decimal place
The plotted points on the graph are (1,2) (0.652,0)(1.572,0) (3,2) (3.348,0) (2.428,0) (2,-1)
What are the increasing intervals ( , ) U ( , )
and what are the Decreasing intervals ( , ) U ( , )

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
first graph it

If ’ then is increasing (local maximum)
If ’ then is decreasing ( local minimum)

'=
find zeros:
..........simlify, both sides divide by
.....use quadratic formula

.......simplify

solutions:
or
or

the increasing intervals ( ,) U ( , )
the Decreasing intervals ( , ) U (, ) or simply ( , )

RELATED QUESTIONS
Given the graph of the function y=x^3-3x^2-6x+8, answer the following All answers must... (answered by MathLover1)

Hi my question is basically just a polynomial and figuring out the "zeros". So here is... (answered by MathLover1)

Hi so here's my question: given the graph of the function y=x^3-3x^2-6x+8, answer the... (answered by MathLover1)

7^(x+8)=6^x (the answer must be rounded to three decimal places). (answered by stanbon)

Graph f(x) and find all real zeros of the function f(x)=x^3+2x^2�5x�10. Approximate all... (answered by Fombitz)

Graph the following function using transformations. Be sure to graph all of the stages on (answered by MathLover1)

Use the following function to answer all parts of the question: g(x) = 3x+1 / x-1... (answered by jim_thompson5910)

Use a graphing utility to approximate the real solutions, if any, of the given equation... (answered by josmiceli,Alan3354)

Find the zero of the function. Give approximate solutions rounded to three decimal place... (answered by ewatrrr)