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1. ### let f(x) be a function with the following two properties: a.) for any two real numbers x and y, f(x+y)=x+f(y).?

f(2009+0) = 2009 +f(0) = 2011. I arrived a few seconds after michy, but I agree with him.

5 Answers · Science & Mathematics · 19/02/2009

2. ### properties of functions?

Commutativity: with real numbers: x + y = y + x. The order of the addition is not important...

2 Answers · Science & Mathematics · 21/08/2008

3. ### Which property of real numbers says that these two expressions are equivalent?

Left Distributive Property of Multiplication over Addition

1 Answers · Science & Mathematics · 01/02/2013

4. ### What are the Properties of Real Numbers?

... only list basic properties as there are so many. Basic Properties of numbers 1) Changing the ORDER of two numbers does not change the result for addition or multiplication ...

3 Answers · Science & Mathematics · 30/07/2011

5. ### Real Numbers?

2 Answers · Science & Mathematics · 07/11/2006

6. ### How to prove that there exists a rational number between any two real numbers?

...a nice proof. Suppose that r and s are two real numbers, and without loss of generality, suppose that...0. Because of the "Archimedian property" of the integers, we can find an integer q...

4 Answers · Science & Mathematics · 15/02/2013

7. ### How do I show that S, an uncountable subset of the reals, has the in-between property?

...work, you could simply let x and y be any two points in your set ... a continuous interval subset of the real numbers, then clearly (x+y)/2 will... arbitrary then the in-between property is satisfied. Edit...

1 Answers · Science & Mathematics · 06/05/2013

8. ### create a quadratic function with a minimum point, two positive real roots, and a y-intercept of 12.?

...multiply by 6 and get y = 6(x-1)(x-2) for a quadratic function with two real roots and y-intercept 12. It opens upward... y = (x-3)(x-4) which has all the required properties without adjustment.

1 Answers · Science & Mathematics · 28/09/2010

9. ### Let f(x) be a function with the following two properties: (click for more details)?

f(2009) = f(2009 + 0) = 2009 + f(0) = 2009 + 2 = 2011.

1 Answers · Science & Mathematics · 16/10/2009

10. ### prove that between any two real numbers there exists a rational number.?

... on the "Archimedian property" of the real numbers. That is: for... between a and b. For the second part, do the same proof for real numbers b...

2 Answers · Science & Mathematics · 19/09/2012