Question

If fx=3x-x/2 find the range if the domain is {-3,-2,4,6}

Answer 1

Answer: Range: y = {-7.5, -5, 10, 15}

Explanation:

Domain is "x" and range is "y" f(x)

Replace the x's in the equation with each given value:

`f(x)=3x-(x)/(2)\qquad \qquad \text{when}\ x={-3, -2, 4, 6}\\\\\\\\f(-3)=3(-3)-\bigg((-3)/(2)\bigg)\\\\\\.\qquad =-9+(3)/(2)\\\\\\.\quad =(-18)/(2)+(3)/(2)\\\\\\.\quad =\large\boxed{-(15)/(2)}`

`f(-2)=3(-2)-\bigg((-2)/(2)\bigg)\\\\\\.\qquad =-6+1\\\\\\.\qquad =\large\boxed{-5}`

`f(4)=3(4)-\bigg((4)/(2)\bigg)\\\\\\.\qquad =12-2\\\\\\.\qquad =\large\boxed{10}`

`f(6)=3(6)-\bigg((6)/(2)\bigg)\\\\\\.\qquad =18-3\\\\\\.\qquad =\large\boxed{15}`