Homework Help

graph the function; identify the domain and range; and compare the graph with the graph...

user profile pic

loishy | Student, Grade 10 | Salutatorian

Posted June 19, 2013 at 4:33 PM via web

dislike 3 like

graph the function; identify the domain and range; and compare the graph with the graph of y = 1/x

       y = -10/x

 

domain:

range:

compare:

1 Answer | Add Yours

user profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted June 19, 2013 at 5:37 PM (Answer #1)

dislike 2 like

Supposing that you need to evaluate the domain and range of the function `y = -10/x` , you should remember the definitions of domain and range of a function.

The domain of function needs to contain all x values that make the function valid. The function` y = -10/x` is not valid if `x = 0` , hence, you need to reject the value x = 0 from domain. Since all x values are real numbers, then you may write the domain such that: `R - {0}.`

The range of the function is the set that contains all values of function obtained using the elements from domain, hence, the range is also `R - {0}.`

Comapring the graph `y = -10/x` to `y = 1/x` yields that the graph y = 1/x passes through two transformation: a reflection to y axis and a vertical expansion by the factor `k = -1/10` .

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes