4 Determine whether or not the relation represents y as a fu

4.

Determine whether or not the relation represents y as a function of x. Find the domain and range.

{ ( -5, y ) | -7 < y < 12 }

Solution

{ ( -5, y ) | -7 < y < 12 }

relation does not represent y as a function of x

because for single element of x(i.e, -5) maps to several elements of y (between -7 to 12)

for a relation to be a function each element in x should map to single element in y

domain {-5}

range (-7,12)