SOLUTION: Determine whether the equation defines a function with independent variable x. If it does, find the domain. If it does not, find a value of x to which there corresponds more than

Question 226510: Determine whether the equation defines a function with independent variable x. If it does, find the domain. If it does not, find a value of x to which there corresponds more than one value of y.
x|y| = x + 9
Found 2 solutions by user_dude2008, solver91311:
Answer by user_dude2008(1862) (Show Source): You can put this solution on YOUR website!
x|y| = x + 9

|y| = (x + 9)/x

y = (x + 9)/x .... or y = -(x+9)/x

the equation is not a function of x

x=2 ----> y=(2+9)/2=11/2 or x=2 ---> y = -(2+9)/2 = -11/2
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Using the definition of absolute value:

We can write:

OR

Let , then

OR

Therefore, NOT a function

John

RELATED QUESTIONS
Determine whether the set S = {( �3, 1), (�2, 1), (�1, 0), (0, 1)} defines a function. If (answered by THANApHD)
Determine whether the set T= {( �2, �8), (�1, �1), (0, 0), (�1, 1), (�2, 8)} defines (answered by stanbon)
Determine whether the set T= {( �2, �8), (�1, �1), (0, 0), (�1, 1), (�2, 8)} defines a (answered by stanbon)
Determine whether the equation defines y as a linear function of x. If yes, write it in... (answered by josgarithmetic,stanbon)
Decide whether the following information defines a function. If it does, state the domain (answered by haileytucki)
Indicate whether the set defines a function. If it does, state the domain and range of... (answered by Yani_1216)
Determine whether the equation defines y as a function of x : y= square root(7x-1) How (answered by Shana-D77)
Decide whether the information defines a function. If it does, state the domain of the... (answered by venugopalramana)
Determine whether the equation defines y as a linear function of x. If so, write it in... (answered by checkley79)