1. Simplifying rational expressions: a. (2x²+3x-2)/(4x²-1) b. (2x³+5x²-3x)/(4x³-4x²+x)
2. Perform the indicated operation on the rational expression: a. (2x²-5x-3)/(3x²-10x+3) x (9x²-1)/(4x²+4x+1) b. (x²-1)/(x²-6x-7) / (x³+x² -2x)/(x-7)
3. Perform the indicated operation on the rational expression: a. (5x+9)/(x²-2x-3) + 6/(x²-7x+12) b. (x+4)/(x²-3x-28) - (x-5)/(x²+2x-35)
4. Draw a graph of these functions :) a. a(x)= g(x) / (2x²-32) b. b(x)= (3x²-3x-60) / h(x) c. c(x)= (x²-11x+24) / h(x) d. d(x)= p(x) / (x²-7+12) e. e(x) = (axⁿ+bx+12) / (cx^m+dx+12)
5. Describe the behavior of the function q around its vertical asymptote at x=9. a. q(x)= (x²-4x-5) / (x²-18x+81)
6. Use reference angles, the unite circle, and the fact that sin(pi/6)=12 to write three other true statements using sine and angles that are multiples of pi/6.