Thursday

April 24, 2014

April 24, 2014

Posted by **Matt-** on Monday, November 1, 2010 at 5:26pm.

The range of y = 1/(x-5) is All real Numbers

True or False

I think it is false because it should be all real numbers except y shouldn't equal 0. Is that correct or don't I understand it-Please explain if I'm wrong.

Thanks

- Algebra II -
**Reiny**, Monday, November 1, 2010 at 6:31pmyou are correct,

If you graph it, the graph will approach the x-axis , but will never reach it.

For large positive values of x, the graph will be slightly above the x-axis,

for large negative values of x, the graph will be slightly below the x-axis

if you solve

0 = 1/(x-5) and cross-multiply , you get

0 = 1 which of course is a contradiction. Thus our equaiton cannot have a solution, that is, y can never be zero.

**Related Questions**

Algebra 2 help :) - Any number in the form of a+-bi , where a and b are real ...

Algebra II - Given no other restrictions, what are the domain and range of the ...

algebra - Find the domain and range of the function. 1. f(x)= x^2-x I got: ...

math - 1. Which of the following numbers is an example of an integer? a. -15 b. ...

Math 115 #20 - Label each statement as true or false a. All integers are real ...

math - (4xy^2)(3x^-4y^5) = 12x^-3y^7 (2x)^5 (3x)^2 = 288x^7 (-3x^2)^4 = 81x^8 ...

math - Please check. (4xy^2)(3x^-4y^5) = 12x^-3y^7 (2x)^5 (3x)^2 = 288x^7 (-3x^2...

algebra - the equation is f(x) = (1/sq. root of 1-x^2) 1. f(x) is never zero. 2...

Physics: true or false - A convex mirror forms a virtual, diminished, and ...

math - the equation is f(x) = (1/sq. root of 1-x^2) 1. f(x) is never zero. 2. 0 ...