Question

drag the endpoints of the segment below to graph ( y = h^{-1}(x) ).

Explanation:

Step1: Identify endpoints of $h(x)$

The dashed segment $y=h(x)$ has endpoints $(5, 7)$ and $(8, 4)$.

Step2: Swap $x,y$ for inverse function

For an inverse function $h^{-1}(x)$, the coordinates of endpoints are swapped. So $(5,7)$ becomes $(7,5)$, and $(8,4)$ becomes $(4,8)$.

Answer:

The endpoints of $y=h^{-1}(x)$ are $(7, 5)$ and $(4, 8)$; plot and connect these two points to graph the inverse segment.