1. Given () = 3 and () = 3(2 3) 3 4 . Describe the transformation on f(x) that produces g(x).

2. Determine whether the following function is odd, even, or neither. () = ^3/ ( 3)^3

b. Solve algebraically. + 1 / 5, - 2 / + 5, = 20 /^ 2 25

3. Determine a rational function that satisfies the following conditions:

Vertical asymptote: = 2

Horizontal asymptote: = 2/3

Hole at = 1

x-intercept at = 3

Please Show all the work and explanation.