Each whole number from 0 to 9 is paired with its opposite

Question

Tell whether the pairing numbers describes a function. If so identify the domain in the range. If not explain why not

Answer 1

Hi Justyce:

 

Your set is

f(x) = {(0,0), (1,-1), (2,-2), (3,-3), (4, -4), (5,-5), (6,-6), (7,-7), (8,-8), (9,-9)}

 

To be a function, any given input value of x in the domain must have

one and only one corresponding output value y in the range.  Since there

is no value of x that has more than 1 value for y, this IS A FUNCTION.

 

The domain is all the input values x:  d = (0,1,2,3,4,5,6,7,8,9) = [0,9]

The range is all the output values y:  r =  (-9,-8,-7,-6,-5,-4,-3,-2,-1,0) = [-9, 0]