Question

1. (Continued) Consider the function (e) (f) f (x) = x3 − 7 x + 5....

1. (Continued) Consider the function

(e)

(f)

f (x) = x3 − 7 x + 5. 2

(0.5 pt) Find the possible inflection points of f(x). Show work.

(0.5 pt) Test the possible inflection points of f(x) to determine if each point is or is not an inflection point. Your work must show that you tested each point properly and support your conclusion. Be sure to state your conclusion. Show work.

(g)

(1 pt) Find the global minimum and global maximum of the function f (x) on the interval 0 ≤ x ≤ 5. Round final calculations to one decimal place.

The global maximum is and occurs at x = . The global minimum is and occurs at x = .

Math   Calculus   
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