Selected Answers to Exam 2, corrected 5/11/07 (Sorry, no graph, but you can check #7 with a graphing calculator)

1. (a) (f ◦ g)(x) = 2x² – 16x + 32 (b) 8 (c) (fg)(x) = 2x³ – 8x²

2. f ^-1(x) = (x^1/5 + 2)^1/3 (you could also express this with roots instead of fractional exponents)

3. The end behavior is given by the leading term, 2x⁵, so: y → -∞ as x → -∞ and y → ∞ as x → ∞

4. 2x² – 3x + 3 + (-12x – 4)/(x² +3x -1)

5. 9

6. ±1/2, ±1, ±2, ±4, ±8

7. V.A.: x = 2

(No H.A.)

x-intercept: x = 1

y-intercept: -1/2

Slant Asymptote: y = x

(then use this info to sketch the graph – plot additional points if needed)