(1 point) Find all critical numbers c of f(x) = 9x Inc. C(1 point) Consider the function f(x) = -2x3 + 39x2 - 1801 + 7. (a) Find all critical numbers c of f. c = (b) f is increasing for T E (c) f is decreasing for i E Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.(1 point) Consider the graph of f (@) given below. (a) Analyzing the graph, if g(x) = f(x), then g(@) is increasing for T E (b) Analyzing the graph, if h'(@) = f(x), then h(@) is increasing for I C Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively.(1 point) Consider the graph of f(@) given below. (a) Analyzing the graph, if g() = f(@), then g is decreasing for I C (b) Analyzing the graph, if h'(x) = f(x), then h is decreasing for T E(1 point) Consider the function f(x) = -2x3 + 9x2 + 240x + 5. (a) f is increasing for I E (b) f is decreasing for I E (c) The local maxima of f occur at c (d) The local minima of f occur at c =2-2 (1 point) Consider the function f(@ ) = 4 (a) f is increasing for r E (b) f is decreasing for r E (c) The local maxima of f occur at x = (d) The local minima of f occur at x = Note: Input U, infinity, and -infinity for union, oo, and -oo, respectively. If there are multiple answers, separate them by commas. If there is no answer, input none.(1 point) Consider the function f(x) = 4x2 - 2x4. (a) f is increasing for T E (b) f is decreasing for & E (c) The relative maxima of f occur at c = (d) The relative minima of f occur at c =