# math

posted by .

the domain and range of y=1/(x-2)

• math -

Let's start with the domain. There is an x value at which y is undefined: x = 2. y is defined for all other values of x. So, the domain is (-infinity, 2) U (2, infinity)

For the range, think about the graph of the parent function 1/x. It approaches 0 as x goes to infinity, and approaches infinity as x goes to 0.

y=1/(x-2) behaves similarly, as no y shifts exists. The only value it cannot equal is 0, as it approaches 0 but does not reach it.

So, the range is (-infinity, 0) U (0, infinity)

## Similar Questions

1. ### Math (pre-calculus)

Hey! I have a domain and range question! I don't remember how to get these, can you help?
2. ### MAth

how do i find the domain and range of equations?
3. ### Algebra

23. The ___ axis represents the independent variable. X?
4. ### Math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function?
5. ### math (2nd Try)

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function?
6. ### precalculus check immediately

suppoe f is a function with domain [1,3]and range[2,5]?
7. ### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] …
8. ### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}?
9. ### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}?
10. ### Algebra. Formalizing relations and functions

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8} B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/

More Similar Questions