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 [tex]y=-\sqrt[3]{x-1}+2[/tex]
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 [tex]y=-\sqrt[3]{0-1}+2=3[/tex]
When y=0 , [tex]0=-\sqrt[3]{x-1}+2\implies x=4[/tex]
