# Let f be a function such that f(x)=2x-4 is defined by the domain 2<=x<=6, what is the range of this function?

Mar 20, 2018

Range: $f \left(x\right) \in \left[0 , 8\right]$
Since $f \left(x\right) = 2 x - 4$ is linear, its limit values correspond to the limits imposed by the domain (in this case $x \in \left[2 , 6\right]$)
$f \left(x\right) = 2 \cdot 2 - 4 = 0$
$f \left(6\right) = 2 \cdot 6 - 4 = 8$