tion 2²-1, x‡1 C, x = 1 lue c so that function f is continuous at x = 1. f(x) = {

How do you find the domain for the composition of two functions, fg ?

The graph of the function f(x) is shown below. It consists of a semicircle and two straight line segments. 150 + -3 -2 y 3 2 -1 1 2 (b) Which of the following numbers is the smallest: ƒ' (−3.95), ƒ' (−1.5), ƒ' (−0.05), ƒ' (1), ƒ' (3.05)? 3 5 X

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