Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -3x2 + 12x + 36

he graph of a function f is given. Use the graph to estimate the following.(a) All the local maximum and minimum values of the function and the value of x at which each occurslocal maximum     (x, y) = 0,12 local minimum      (x, y) = −9,−6 (smaller x-value)local minimum (x, y) = 6,3 (larger x-value)(b) The intervals on which the function is increasing and on which the function is decreasing. (Enter your answers using interval notation.)increasing     (−∞,−9)∪(0,6) decreasing     (0,6)

On which interval is the function f(x) = 3 sin(2x) decreasing?Responses

Find the intervals in which the following function  f(x)=20−9x+6x2−x3𝑓𝑥=20−9𝑥+6𝑥2−𝑥3 is(a)𝑎 Strictly increasing,(b)𝑏 Strictly decreasing.

Use the graph to determine the open intervals over which  is increasing, decreasing, or constant, then determine all the local minimum and maximum values on the graph.a.)Increasing on Decreasing on Local minimum is 1 at Local maximum is -1 at b.)Increasing on Decreasing on Local minimum is 2 at Local maximum is 6 at c.)Increasing on Decreasing on Local minimum is 1 at Local maximum is -1 at d.)Increasing on Decreasing on Local minimum is 2 at Local maximum is 6 at

Determine the interval(s) on which the function is (strictly) increasing.Write your answer as an interval or list of intervals.When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible.Click on "None" if applicable.y1234567-1-2-3-4-5-6-7x1234567-1-2-3-4-5-6-7