Term
| If f and g bounded, is f+g? |
|
Definition
Yes |f| must be less than or equal to M1
|g| must be less than or equal to M2
|f+g| <= M1+M2=M |
|
|
Term
| If f and g bounded, is fg? |
|
Definition
Yes same principle as last one
|f| <= M1*M2=M |
|
|
Term
| if f+g is bounded, are f and g bounded? |
|
Definition
Not always
let f(x)=x and g(x)=-x
|f+g|=0 |
|
|
Term
| if fg is bounded are f and g? |
|
Definition
Not always again
let f(x)=x
and g(x)=1/x when x doesnn't equal zero
and g(0)=0 |
|
|
Term
|
Definition
|
|
Term
| Surjection (and not injection) |
|
Definition
|
|
Term
| Injection and not surjective |
|
Definition
|
|
Term
|
Definition
| means an is constantly increasing or decreasing |
|
|
