# 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