Question

Find the domain and range of the function.

f(x)=1/2 lx-2l

Answer 1

domain = (- infinity, infinity)
range = [0, infinity)

graph is moved left two from origin, no negative y values because of the absolute value (looks like a V) and the 1/2 horizontally stretches the graph / vertically shrinks it.

Answer 2

The function
\[f(x)=\frac{1}{2}|x-2|\]is defined everywhere. However, notice that its range does not include the negative numbers.