What is the range of f(x) = 4[x]?
{....-2,-1,0,1,2,....}
{...-4,-2,0,2,4....}
{...-8,-4,0,4,8....}
{....-12,-6,0,6,12....}
As we have learned
Greatest Integer Function -
Greatest integer less than or equal to x
- wherein
Range = Integers
Range of [x] is Z i.e {...-2,-1,0,1,2...}
so Range of 4[x] is {...-8,-4,0,4,8}
Option 1)
{....-2,-1,0,1,2,....}
Option 2)
{...-4,-2,0,2,4....}
Option 3)
{...-8,-4,0,4,8....}
Option 4)
{....-12,-6,0,6,12....}
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