Problem Set 7

  1. Asymptotes Domain and Range. a) x=1,y=3x+3 b) (-\infty,1)\cup(1,\infty) c) 0
  2. Asymptotes Domain and Range II. a) x=-2,x=5,y=0 b) (-\infty,-2)\cup(-2,5)\cup(5,\infty) c) (-\infty,\infty)
  3. Asymptotes Domain and Range III. even function; (-\infty,-3) increasing; (-3,3) includes maximum; (3,\infty) decreasing
  4. Graph Behavior. a) (-2,0);(2,0) b) (0,\frac{4}{3}) c) x=-3;x=3 d) y=3 e) none f) even
  5. Piecewise Graph.

    (Part A of graph) x^2-9 , < , 3

    (Part B of graph) 9 , 3, \le , \le , 5

    (Part C of graph) 3x-9 , > , 5

  6. Types of Asymptotes. From top to bottom: no, yes, yes, yes, no, no
  7. Function at a Point. 10 , -2 , 16
  8. Function at a Point II. -7 , -1 , 5