Consider the following function. f(x) = (x + 7)2/3 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) X = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (х, у) %3D relative minimum (х, у) %3D

2. Consider the function f (x) = x¹ − 2x² + 3. (a) Find the intervals on which f is increasing / decreasing. (b) Find the intervals on which f is concave up/ concave down. Display your answer in table form, with a column for the intervals, columns for each factor, a column for the derivative, and a column for the function, as shown in lecture.

For the function: ax+b f(x)= cx+d Find the value of f-¹ (x) for a=-1.1, b = 1.5, c = 2.9, d= -2.6, x = 0.9 to two decimal places.