Homework Help

I need to know the Domain and Range of the following rational expressions/functions. ...

user profile pic

user290515 | eNotes Newbie

Posted May 6, 2013 at 2:49 PM via web

dislike 2 like

I need to know the Domain and Range of the following rational expressions/functions. 

1. y = -10/x

 

2. y = (1)/(x+3) + 3 

Also, I need to compare them with the graph of y=1/x 

 

Thanks for the help! 

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted May 6, 2013 at 5:24 PM (Answer #1)

dislike 1 like

You need to remember the definition of domain of function, hence, since, the domain contains the x inputs that make the function valid, you should notice that at `x = 0` , the function `y = -10/x` is not defined.

Hence, evaluating the domain of the function yields that it contains all real numbers, except `x = 0.`

The range of the function cotains the y outputs that come out when using equation of function `y = -10/x.`

Hence, evaluating the range of the function yields that it contains all real numbers, except y = 0.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes