Question

How do I find the range of this function?

Answer 1

\[\frac{ \left| x \right|+3 }{ x-3 }\]

Answer 2

sorry, thats wrong.

Answer 3

\[\frac{ \left| x \right|-3 }{ x-3 }\]

Answer 4

look at its graph

Answer 5

Range is the y values that are value for the function

Answer 6

The graph is confusing though. The y values seem to slowly go down forever.

Answer 7

https://www.desmos.com/calculator

Answer 8

Hmmm so would it be all values of y less than or equal to 1?

Answer 9

looks like it high point is 1 and x can not equal 3 (but that is the domain value)

Answer 10

-1 to 1 is what the range looks like

Answer 11

I used my graphing calculator and I also, looked at my tables.
y=-1 is the horizontal asymptote

Answer 12

Oh, I see. thank you!

Answer 13

anytime