f(x) = 12x³ - 117x² - 432x +2 List any invetervals on which the function is increasing and decreasing.

Suppose a certain drug is administered to a patient and the the percent of concentration of the drug is in the bloodstream after T hours is modeled by the following function, where 0 < T < ∞. K(t) = 4t / t² + 4. A) Identify the open invervals where K(t) is increasing. B) Identify the open intervals where K(t) is decreasing.

The function A(x) = 0.002x³ - 0,03x² +0.14x + 0.05 (The funtion only applies to the first 6 hours. A) Identify the time invervals where A(x) is increasing. B) Identify the time intervals where A(x) is decreasing.

f(x) = x³ + 6x² + 1. Create a sign chart to decide at which critical number a local minimum occurs and at which critical number a local maximum occurs. Find the corresponding y values for each to complete each statement.

f(x) = x³ + 9x² + 24x + 1. Create a sign chart to decide at which critical number a local minimum occurs and at which critical number a local maximum occurs. Find the corresponding y values for each to complete each statement.