notation and show all of your 1. Graph the function where: (a) Continuous and differentiable for all real numbers (b) f'(x) >0 on (-∞, -3) U (1.4) (c) f'(r) <0 on (-3,1) U (4,0) (d) f"(z) <0 on (-∞, -1) U (2,00) (e) f"(z) >0 on (-1,2) (f) f'(-3) = f'(4) = 0 (g) f"(x) = 0 at (-1,3) and (2,4)

Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

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Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Ja

* Find the domain of the function f(x) = /x² – 2x – 15 Domain is (-00,-3]u[5,0) O Domain is (-00,-3]u(5,0) O Domain is (-00,-3)u[5,0) O

Find f-1 if f (z) = iz + 1.

ƒ (x) = − ½-|x| − 14x^8 +7   is this a function if so how and why