Question

if f(x)=4x-6 and the domain of f is {2,4,6}, what is the range of f(x)?
A.{14,22,30} B.{-6,-4,-2} C.{2,4,6} D. {2,10,18}

Answer 1

$f(x)=4x-6\\\\D=\{2,\ 4,\ 6\}\\\\R=\boxed{?}\\\\Calculate\ values\ of\ f(2),\ f(4)\ and\ f(6).\\\\Put\ the\ values\ of\ x\in\{2,\ 4,\ 6\}\ to\ the\ equation\ of\ the\ function:\\\\f(2)=4(2)-6=8-6=2\\f(4)=4(4)-6=16-6=10\\f(6)=4(6)-6=24-6=18\\\\Answer:\ The\ range\ is\ equal\ R=\{2,\ 10,\ 18\}\to\boxed{D.}$