Question

Can someone pls explain this to me. I thought I understood it but everything I type in is incorrect!:(

Answer 1

Notice the graph, the domain is just the horizontal area "used up" over the x-axis, so, the graph goees from $\bf -\cfrac{5x}{2}\quad to\quad \cfrac{5x}{2}\implies domain\implies \left[-\cfrac{5x}{2}\ ,\ \cfrac{5x}{2}\right]$

the range is just, the vertical area "used up" over the y-axis, so, the graph goes to 2 and down to -2, thus    $\bf range\implies [2\ ,\ -2]$