• Support PF! Buy your school textbooks, materials and every day products Here!

Proving F is not an increasing function?

  • Thread starter mdlavey
  • Start date
  • #1
1
0
1. (Initial Question) let f be a function from R to R. Without using words of negation, write the meaning of "f is not an increasing function."



2. No Relevant Equations.



3.(Attempt at Solution) Does this mean that I just need to rewrite the statement without using the word "not", or am I somehow supposed to prove that f is not an increasing function? If I am supposed to prove this, how would I go about that?

Thanks!
 

Answers and Replies

  • #2
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,535
751
1. (Initial Question) let f be a function from R to R. Without using words of negation, write the meaning of "f is not an increasing function."



2. No Relevant Equations.



3.(Attempt at Solution) Does this mean that I just need to rewrite the statement without using the word "not", or am I somehow supposed to prove that f is not an increasing function? If I am supposed to prove this, how would I go about that?

Thanks!


Neither. You just need to fill in the blank spot in this:

If f is a function from R to R such that ____________________________, then f is not an increasing function on R.

You have a definition of increasing function to use to help you fill in the blank.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,833
955
There exist some x and y such that x< y but .... What will be true of f(x) and f(y) to show that f is NOT increasing?
 

Related Threads on Proving F is not an increasing function?

  • Last Post
Replies
4
Views
2K
Replies
2
Views
4K
Replies
2
Views
2K
Replies
2
Views
1K
Replies
0
Views
892
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
2
Views
697
Top