5 Find the interval(s) on which f(x) x3 + 12):\" + 50 is increasing and the interval(s) on which it is decreasing Justify your answers using the first derivative off. 6. Consider the functionf(x) = x+5A At what point(s) in the interval [0,2] is the instantaneous rate of change equal to the average rate of change, as guaranteed by the Mean Value Theorem? 7. Explain why x): |x 1 | does not satisfy the conditions of the Mean Value Theorem on the interval [- -2 2]. 8 Graph an example of a function which is both increasing and concave up through the entire interval 0