Problem Set 5

  1. Is it a function?. No, because an input has two different outputs.
  2. Odd or Even.

    _o_ odd ___ ___

    ___ even __ _o_

    ___ neither ___

    ___ odd ___ _o_

    ___ even __ ___

    _o_ neither ___

  3. Beach Toys. 20
  4. Function Features.

    ___C_________A__

    ___F____________

    _C______________

    ________________D

    ________________F

    _E_____D________

  5. Rational Functions. a) 0 b) 0 c) x\ne \frac{4}{5} d) 4,5 e) 4,5
  6. Symmetry.

    A function which is symmetric about the y-axis is an __even__ function.

    A function which has rotational symmetry about the origin is an __ odd __ function.

  7. Maximum and Minimum Points.

    global

    global

    relative

    relative

  8. Just One Domain and Range.

    Domain:_ (-\infty ,2)\cup (2,\infty)

    Range:_ (-\infty ,0)\cup (0,\infty )

  9. Brackets and Bounds.

    ___ Domain ____ Range

    a) (-\infty,\infty) ___ (-\infty,\infty)

    b) (-\infty,\infty) ___ [9,\infty)

    c) (-\infty,\infty) ___ (-\infty,\infty)

  10. Functions or Not? a) function b) not c) function d) not e) function
  11. Solving Quadratic Equations. a) -3i,3i b) -3-i,-3+i c) -1-\frac{1}{2}i\sqrt{6},-1+\frac{1}{2}i\sqrt{6}
  12. Complex Operations. a) -2+6i b) -6+7i c) -2-11i d) -50