Use the derivative of the function shown below to determine the open intervals in which the function is increasing or decreasing and any relative extrema, and the x-values at which the extrema occur. Increasing: Decreasing: f(x)= a) Find all the critical values for the given function. If there are not any critical values, record DNE in the answer box shown below. If there are more than one, list them separated by commas. b) Record the open intervals in which the function is increasing or decreasing. If there are more than one intervals in which a function is increasing or decreasing, use a comma to separate the intervals (e.g., (-5,7),(-3,5)). If there are no intervals, record DNE in the answer box. Be sure to use oo (two letter o's and not zeros) for infinity and -oo for negative infinity. Relative Maximum: = 3 -x² + 21x - 8 2 2 c) Record the relative maximum and minimum of the function and the x-values in which they occur. If ther are more than one, list them separated commas. If there are none, record DNE in the answer box. x-value(s) where the relative max occur: x-value(s) where the relative min occur: Relative Minimum: