Consider the four graphs shown below. Select all graphs that satisfy the following four conditions: • f"(x) < 0 when -1 0 when x < -1 and x > 3, • f(-1) = -3, and • f(1) = -1. 0 0 f(x) +4 14 -2 0 2 4 W -4 -2 -2 -6- -2 2- -44 -6- -8- 0 f(x) 41 2 -4- 0 -4 -6 f(x) f(x) 2 2 4 2 4 X X X X

Select the graph that has the same point of inflection as f(x) = x³ – 6x? + 12x – 8 2 543-2 1 23 4 5 5 4/32 4 1 23 4 5 -2 4 3 2 1 1 5432 1 23 45 54 3-2 1 23 45 +++ + +++ +++ ++ ++++ ক

# 2. Determine if the function g(x) = 3x+5 x is even, odd, or neither (a) using algebraic approach, (b) using the graph of g. Explain all your conclusions.

(d) Graph f(x) = 9x on the window [-9, 9] by [-9, 9]. Do you see why the slope at x = 0 does not exist? O -5 y 5 -5 10 5 -5 -10 5 5 X @ O -5 10 y 5 5 5 X

Select the choice that is a graph of the function 16 x - 3 3 (x + 2)(x-4) f(x) = = -Z-6-5-4-3 d -7 6 5 4 3 2 -1 -2 3- 1 -7-6-5-4-3-2-1 -1 2 1 -7 6 5 4 3 2 1 -2 -3 1 2 3 4 5 1 vė 6 7 Q 1 2 3 4 5 6 7 1 Q 1234 5 6 Q

Draw the graph of f(x) = 2* |10+ 71 4 10 -9 -8 -7 -6 -5 -4 -3 8 9 10 -2 -3 -4 -5 -7 -8 -9 Clear All Draw: