Answer:
The graph has a domain of all real numbers.
As x is increasing, y is decreasing
Step-by-step explanation:
The given function is ![y=-\sqrt[3]{x-1}+2](https://tex.z-dn.net/?f=y%3D-%5Csqrt%5B3%5D%7Bx-1%7D%2B2)
This is the graph of a cubic function that has been reflected in the y-axis, shifted 1 unit right, and shifted up 2 units.
The domain is all real numbers
The range is all real numbers
Y-decreases as x increases
When x=0 ![y=-\sqrt[3]{0-1}+2=3](https://tex.z-dn.net/?f=y%3D-%5Csqrt%5B3%5D%7B0-1%7D%2B2%3D3)
When y=0 , ![0=-\sqrt[3]{x-1}+2\implies x=4](https://tex.z-dn.net/?f=0%3D-%5Csqrt%5B3%5D%7Bx-1%7D%2B2%5Cimplies%20x%3D4)