Prove or Disprove if the Function is Injective

preview_player
Показать описание
Prove or Disprove if the Function is Injective

If you enjoyed this video please consider liking, sharing, and subscribing.

You can also help support my channel by becoming a member

Thank you:)
  1. The Math Sorcerer
  2. functions
  3. sets
  4. relations
  5. injective
  6. prove
Рекомендации по теме
Prove or Disprove 0:03:19

Prove or Disprove if the Function is Injective

How to Prove 0:18:35

How to Prove or Disprove Big-O - Introduction to Computer Science

Prove or disprove: 0:02:31

Prove or disprove: A Nobel Prize winner’s approach to science | Jim Allison | Big Think

How to Prove 0:20:31

How to Prove or Disprove Big Ω - Introduction to Computer Science

GCSE Maths - 0:04:44

GCSE Maths - How to Disprove a Statement by Counter Example - Proof Part 1 #62

Use truth tables 0:03:45

Use truth tables to prove (or disprove) the logical equivalence of two statements.

How to Prove 0:03:44

How to Prove a Function is Surjective(Onto) Using the Definition

S01.9 Proof That 0:04:02

S01.9 Proof That a Set of Real Numbers is Uncountable

Challenging Every Faith: 0:10:29

Challenging Every Faith: Proving Islam is the Absolute Truth | A Debate Against All Beliefs (Part 2)

Can science prove 0:08:15

Can science prove or disprove the existence of God?

How To Figure 0:09:00

How To Figure Out Math Proofs On Your Own

How to Prove 0:03:35

How to Prove a Function is Injective(one-to-one) Using the Definition

Prove or disprove 0:03:19

Prove or disprove that the integral of the floor function is equal to the floor of the integral

Prove or disprove 0:10:10

Prove or disprove the given statement | L15 | TYBSc Maths | Continuous Functions @ranjankhatu

Prove or disprove 0:11:51

Prove or disprove the given statement | L16 | TYBSc Maths | Continuous Functions @ranjankhatu

Prove, or disprove 0:02:13

Prove, or disprove Trig identities 1

Math 308 Lecture 1:25:40

Math 308 Lecture 12 - Prove or disprove and Intro to Relations

Carl Sagan: Does 0:00:44

Carl Sagan: Does Science Prove or Disprove the Existence of God?

(M1E11) [Microeconomics] How 0:16:37

(M1E11) [Microeconomics] How to Prove/Disprove a Binary Relation is a Preference Relation: Example 1

How Science Could 0:02:41

How Science Could Prove the Existence of God | Michio Kaku | Google Zeitgeist

Can Math Prove 0:04:33

Can Math Prove God's Existence?

Prove, or disprove 0:04:33

Prove, or disprove Trig identity 2

For arbitrary complex 0:08:43

For arbitrary complex constants w1 and w2, prove or disprove the following: Signals and Systems

Prove, or disprove 0:02:14

Prove, or disprove Trig identity 3

Комментарии
Автор

Let f:R-->R be an arbitrary even function. From the definition of an even function, f(x)=f(-x). So, let x!=0, a=x and b=-x, hence, f(a)=f(b) and a!=b, which proves no even function from R to R is injective. I think this is OK? Taking an "arbitrary function" would mean it isn't first order logic, though, and I've not done anything with HOL so I'm not sure

platosbeard
Автор

Ok but how do you prove it then? Do we have to then show the infinite number of times it doesn't fail?

STUDY-xy