Posted by **Amy** on Sunday, November 21, 2010 at 6:47pm.

Another question about domains and range

how would I find the range of (3x-4)/(6x-1) ? Without using a graph

the domain is x can't be 1/6

What is the range?

- Algebra -
**Amy**, Sunday, November 21, 2010 at 6:47pm
without using a graph

- Algebra -
**Reiny**, Sunday, November 21, 2010 at 7:24pm
The range is how high or how low your graph can go

So look at what happens when you use large values of x

e.g. in your mind try x = 100 000

so you would have 299 996/599 999

For all practical purposes this is 3/6 or 1/2, even though you will never reach it.

As a matter of fact try it on your calculator you will get .49999... , in other words, less than 1/2

The larger the value of x, the closer we will get to 1/2

If we try large negative values of x

say, x = -100 000

then our calculation is -300 006/-600 001

which is slightly over .5

so no value of x will produce a y equal to 1/2

so the domain is the set of all real values of y ,except y = .5

(if you try to solve

(3x-4)/(6x-1) = 1/2

we get

6x - 8 = 6x-1

-8 = -1 which is false and a contradiction.

So there is no solution)

- Algebra -
**sera**, Friday, November 26, 2010 at 11:00am
1. Use a calculator to approximate the square root of 320. Round to three decimal places

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