Reference no: EM131544594

Written Assignment

For the following questions provide clear and detailed work. You may hand write these and take a picture or use the equation editor in word and upload the file. Please be neat and organized.

1) Find the critical points of the function,. Show all work.

f(x)=2x³ + 3x² - 12x + 11

2) Classify these critical points as maximums and minimums and find intervals of increase and decrease. Show all work.

f(x) = 2x³ + 3x² - 12x +11

3) Find the second derivative of the function and use it to find intervals of concavity and any inflections points. Show all work.

f(x)=2x³ + 3x²-12x +11

4) Provide a clear sketch of the function identifying all x and y intercepts, extrema (max/min) and inflection points. Please be careful with how you draw your concavity as I will be looking at this carefully.