Can a function have a pair that has the same numbers for both the domain and range?

Question

Including pairs like (3,30 (15,15) etc

Answer 1

Amanda:

 

Yes, a function can contain ordered pairs that include the same value for both the abscissa (x-value) and ordinate (y-value).  This is true for the function f(x)=x for all real numbers:  the integer values of the domain will be matched by the same integer value for the range ...(-3,-3), (-2,-2), (-1,-1), (0,0), (1,1), (2,2), (3,3)....  For the function f(x)=x², both (0,0) and (1,1) will be included.

 

- Rob