Answered: Let f be a function from R to R.…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.1: Functions And Function Notation

Problem 90SE: Let f(t) be the number of ducks in a lake t years after 1990. Explain the meaning of each statement:...

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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”.

Expert Solution

Step 1

What is Statement:

Any style of reasoning starts with a mathematical assertion. A mathematical assertion is one that can be proven to be true or untrue mathematically, and is therefore referred to as such. Additionally, we have the ability to create new statements from preexisting ones. The negation of a statement is the act of rejecting it.

Given:

Given that $f$ is a function from $ℝ$ to $ℝ$ .

Given statement is:

The function $f$ is not an increasing function.

To Determine:

We rewrite the statement without using word of negation.