Answer
a) See graph
b) Domain: $(-\infty,\infty)$
Range: $[0,4)$
Work Step by Step
We are given the function:
$k(x)=4\left(\dfrac{1}{2}x-\left[\left[\dfrac{1}{2}x\right]\right]\right)^2$
a) Graph the function:
b) Determine its domain and range:
Domain: $(-\infty,\infty)$
Range: $[0,4)$