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Consider the function y =...

Consider the function y = f(x) = x^3 â€“ 6x^2 + 9x. Complete the analysis below and sketch the function.

a. Write a function in factored form

b. f '(x) =

c. f ''(x) =

d. Identify coordinates of any:

1. x intercept(s) =

2. y intercept(s) =

3. relative maximum points =

4. relative maximum points =

5. inflection points =

e. Identify intervals where the function is:

1. increasing =

2. decreasing =

3. concave up =

4. concave down =

f. Coordinates of the absolute maximum of the function on [2, 4] =

g. Coordinates of the absolute minimum of the function on [2, 4] =

a. Write a function in factored form

b. f '(x) =

c. f ''(x) =

d. Identify coordinates of any:

1. x intercept(s) =

2. y intercept(s) =

3. relative maximum points =

4. relative maximum points =

5. inflection points =

e. Identify intervals where the function is:

1. increasing =

2. decreasing =

3. concave up =

4. concave down =

f. Coordinates of the absolute maximum of the function on [2, 4] =

g. Coordinates of the absolute minimum of the function on [2, 4] =

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