SOLUTION: For each relation determine if y is a function of x. (y-2)^3+3=x

Question 1097001: For each relation determine if y is a function of x.
(y-2)^3+3=x
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

Solve for y and see if there are more than one value for any x.











There is only one real cube root on any number, so 
yes, this is a function.

Here is the graph:



The graph of a function is one that never passes under 
or over any part of itself.  This one doesn't.

Edwin

RELATED QUESTIONS
Determine whether each relation is a function.... (answered by vertciel)

Determine if the relation is a function.... (answered by mathispowerful)

Determine whether each relation is a function. y=the square root of... (answered by vertciel)

Determine whether each relation defines a function x-4y=8 y=2x+3... (answered by ikleyn)

My worksheet says to Determine whether each relation is a function... how do i know what (answered by CharlesG2)

Graph each relation and state the domain and range of each relation. Then determine... (answered by jim_thompson5910)

Graph the relation if x and y are integers. Find the domain of the relation. Is the... (answered by stanbon)

Determine whether the relation is a function.... (answered by jim_thompson5910)

State the domain, range and determine if the relation is a function. 1.... (answered by solver91311)