# Question #1daff

$\left[- 3 , \infty\right)$
So basically, the domain is an idea of the x-values of the function and the range is an idea of the y-values of the function. Now, due to the absolute value signs, this function is mostly going to be going up up up. Now if it were just $| 2 x - 3 |$ it would just be going straight up from $y = 0$ but, due to the fact it is $| 2 x - 3 | - 3$, it is going to be down on the y-axis by three. Therefore, it will be everything greater than and equal to -3. Graph for emphasis: graph{|2x-3|-3 [-10, 10, -5, 5]}